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Finding the Fourth Proportional to 4,980.60, 7,470.90 and 4,166.55

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Solution

The fourth proportional to 4,980.60, 7,470.90 and 4,166.55 is: 6,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.60 : 7,470.90 = 4,166.55 : x
  2. Step 2: Convert to fraction form
    4,980.60/7,470.90 = 4,166.55/x
  3. Step 3: Cross multiply
    4,980.60x = 7,470.90 × 4,166.55
  4. Step 4: Simplify right side
    4,980.60x = 31,127,878.40
  5. Step 5: Solve for x
    x = 31,127,878.40/4,980.60
  6. Step 6: Final answer
    x = 6,249.83

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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.