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Finding the Fourth Proportional to 3,861.52, 5,323.92 and 3,152.68

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Solution

The fourth proportional to 3,861.52, 5,323.92 and 3,152.68 is: 4,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.52 : 5,323.92 = 3,152.68 : x
  2. Step 2: Convert to fraction form
    3,861.52/5,323.92 = 3,152.68/x
  3. Step 3: Cross multiply
    3,861.52x = 5,323.92 × 3,152.68
  4. Step 4: Simplify right side
    3,861.52x = 16,784,616.11
  5. Step 5: Solve for x
    x = 16,784,616.11/3,861.52
  6. Step 6: Final answer
    x = 4,346.63

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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.