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Finding the Fourth Proportional to 5,724,798.60, 7,900,271.22 and 3,146,539.40

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Solution

The fourth proportional to 5,724,798.60, 7,900,271.22 and 3,146,539.40 is: 4,342,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724,798.60 : 7,900,271.22 = 3,146,539.40 : x
  2. Step 2: Convert to fraction form
    5,724,798.60/7,900,271.22 = 3,146,539.40/x
  3. Step 3: Cross multiply
    5,724,798.60x = 7,900,271.22 × 3,146,539.40
  4. Step 4: Simplify right side
    5,724,798.60x = 24,858,514,664,416.07
  5. Step 5: Solve for x
    x = 24,858,514,664,416.07/5,724,798.60
  6. Step 6: Final answer
    x = 4,342,251.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.