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Finding the Fourth Proportional to 2,807.54, 3,872.13 and 2,470.71

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Solution

The fourth proportional to 2,807.54, 3,872.13 and 2,470.71 is: 3,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.54 : 3,872.13 = 2,470.71 : x
  2. Step 2: Convert to fraction form
    2,807.54/3,872.13 = 2,470.71/x
  3. Step 3: Cross multiply
    2,807.54x = 3,872.13 × 2,470.71
  4. Step 4: Simplify right side
    2,807.54x = 9,566,910.31
  5. Step 5: Solve for x
    x = 9,566,910.31/2,807.54
  6. Step 6: Final answer
    x = 3,407.58

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