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Finding the Fourth Proportional to 3,747.88, 5,171.63 and 2,154.56

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Solution

The fourth proportional to 3,747.88, 5,171.63 and 2,154.56 is: 2,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.88 : 5,171.63 = 2,154.56 : x
  2. Step 2: Convert to fraction form
    3,747.88/5,171.63 = 2,154.56/x
  3. Step 3: Cross multiply
    3,747.88x = 5,171.63 × 2,154.56
  4. Step 4: Simplify right side
    3,747.88x = 11,142,587.13
  5. Step 5: Solve for x
    x = 11,142,587.13/3,747.88
  6. Step 6: Final answer
    x = 2,973.04

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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.