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Finding the Fourth Proportional to 3,734.72, 5,151.97 and 3,027.36

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Solution

The fourth proportional to 3,734.72, 5,151.97 and 3,027.36 is: 4,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.72 : 5,151.97 = 3,027.36 : x
  2. Step 2: Convert to fraction form
    3,734.72/5,151.97 = 3,027.36/x
  3. Step 3: Cross multiply
    3,734.72x = 5,151.97 × 3,027.36
  4. Step 4: Simplify right side
    3,734.72x = 15,596,862.02
  5. Step 5: Solve for x
    x = 15,596,862.02/3,734.72
  6. Step 6: Final answer
    x = 4,176.18

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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.