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Finding the Fourth Proportional to 4,761.86, 6,571.10 and 2,637.27

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Solution

The fourth proportional to 4,761.86, 6,571.10 and 2,637.27 is: 3,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.86 : 6,571.10 = 2,637.27 : x
  2. Step 2: Convert to fraction form
    4,761.86/6,571.10 = 2,637.27/x
  3. Step 3: Cross multiply
    4,761.86x = 6,571.10 × 2,637.27
  4. Step 4: Simplify right side
    4,761.86x = 17,329,751.71
  5. Step 5: Solve for x
    x = 17,329,751.71/4,761.86
  6. Step 6: Final answer
    x = 3,639.29

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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.