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Finding the Fourth Proportional to 3,721.77, 5,135.13 and 2,149.86

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Solution

The fourth proportional to 3,721.77, 5,135.13 and 2,149.86 is: 2,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.77 : 5,135.13 = 2,149.86 : x
  2. Step 2: Convert to fraction form
    3,721.77/5,135.13 = 2,149.86/x
  3. Step 3: Cross multiply
    3,721.77x = 5,135.13 × 2,149.86
  4. Step 4: Simplify right side
    3,721.77x = 11,039,810.58
  5. Step 5: Solve for x
    x = 11,039,810.58/3,721.77
  6. Step 6: Final answer
    x = 2,966.28

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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.