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Finding the Fourth Proportional to 4,151.52, 5,734.69 and 3,856.28

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Solution

The fourth proportional to 4,151.52, 5,734.69 and 3,856.28 is: 5,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.52 : 5,734.69 = 3,856.28 : x
  2. Step 2: Convert to fraction form
    4,151.52/5,734.69 = 3,856.28/x
  3. Step 3: Cross multiply
    4,151.52x = 5,734.69 × 3,856.28
  4. Step 4: Simplify right side
    4,151.52x = 22,114,532.04
  5. Step 5: Solve for x
    x = 22,114,532.04/4,151.52
  6. Step 6: Final answer
    x = 5,326.85

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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.