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Finding the Fourth Proportional to 3,605.10, 5,407.65 and 3,129.90

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Solution

The fourth proportional to 3,605.10, 5,407.65 and 3,129.90 is: 4,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.10 : 5,407.65 = 3,129.90 : x
  2. Step 2: Convert to fraction form
    3,605.10/5,407.65 = 3,129.90/x
  3. Step 3: Cross multiply
    3,605.10x = 5,407.65 × 3,129.90
  4. Step 4: Simplify right side
    3,605.10x = 16,925,403.74
  5. Step 5: Solve for x
    x = 16,925,403.74/3,605.10
  6. Step 6: Final answer
    x = 4,694.85

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