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Finding the Fourth Proportional to 5,545.64, 7,652.80 and 3,188.14

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Solution

The fourth proportional to 5,545.64, 7,652.80 and 3,188.14 is: 4,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.64 : 7,652.80 = 3,188.14 : x
  2. Step 2: Convert to fraction form
    5,545.64/7,652.80 = 3,188.14/x
  3. Step 3: Cross multiply
    5,545.64x = 7,652.80 × 3,188.14
  4. Step 4: Simplify right side
    5,545.64x = 24,398,197.79
  5. Step 5: Solve for x
    x = 24,398,197.79/5,545.64
  6. Step 6: Final answer
    x = 4,399.53

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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.