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Finding the Fourth Proportional to 5,452.92, 8,178.96 and 1,754.16

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Solution

The fourth proportional to 5,452.92, 8,178.96 and 1,754.16 is: 2,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.92 : 8,178.96 = 1,754.16 : x
  2. Step 2: Convert to fraction form
    5,452.92/8,178.96 = 1,754.16/x
  3. Step 3: Cross multiply
    5,452.92x = 8,178.96 × 1,754.16
  4. Step 4: Simplify right side
    5,452.92x = 14,347,204.47
  5. Step 5: Solve for x
    x = 14,347,204.47/5,452.92
  6. Step 6: Final answer
    x = 2,631.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.