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Finding the Fourth Proportional to 3,772.86, 5,651.92 and 2,470.38

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Solution

The fourth proportional to 3,772.86, 5,651.92 and 2,470.38 is: 3,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.86 : 5,651.92 = 2,470.38 : x
  2. Step 2: Convert to fraction form
    3,772.86/5,651.92 = 2,470.38/x
  3. Step 3: Cross multiply
    3,772.86x = 5,651.92 × 2,470.38
  4. Step 4: Simplify right side
    3,772.86x = 13,962,390.13
  5. Step 5: Solve for x
    x = 13,962,390.13/3,772.86
  6. Step 6: Final answer
    x = 3,700.74

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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.