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Finding the Fourth Proportional to 5,928.14, 8,892.18 and 1,545.60

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Solution

The fourth proportional to 5,928.14, 8,892.18 and 1,545.60 is: 2,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.14 : 8,892.18 = 1,545.60 : x
  2. Step 2: Convert to fraction form
    5,928.14/8,892.18 = 1,545.60/x
  3. Step 3: Cross multiply
    5,928.14x = 8,892.18 × 1,545.60
  4. Step 4: Simplify right side
    5,928.14x = 13,743,753.41
  5. Step 5: Solve for x
    x = 13,743,753.41/5,928.14
  6. Step 6: Final answer
    x = 2,318.39

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Why These Related Problems?

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