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Finding the Fourth Proportional to 3,746.13, 5,169.17 and 2,254.41

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Solution

The fourth proportional to 3,746.13, 5,169.17 and 2,254.41 is: 3,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.13 : 5,169.17 = 2,254.41 : x
  2. Step 2: Convert to fraction form
    3,746.13/5,169.17 = 2,254.41/x
  3. Step 3: Cross multiply
    3,746.13x = 5,169.17 × 2,254.41
  4. Step 4: Simplify right side
    3,746.13x = 11,653,417.27
  5. Step 5: Solve for x
    x = 11,653,417.27/3,746.13
  6. Step 6: Final answer
    x = 3,110.79

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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.