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Finding the Fourth Proportional to 5,590.78, 8,387.73 and 4,560.50

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Solution

The fourth proportional to 5,590.78, 8,387.73 and 4,560.50 is: 6,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.78 : 8,387.73 = 4,560.50 : x
  2. Step 2: Convert to fraction form
    5,590.78/8,387.73 = 4,560.50/x
  3. Step 3: Cross multiply
    5,590.78x = 8,387.73 × 4,560.50
  4. Step 4: Simplify right side
    5,590.78x = 38,252,263.63
  5. Step 5: Solve for x
    x = 38,252,263.63/5,590.78
  6. Step 6: Final answer
    x = 6,842.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.