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Finding the Fourth Proportional to 3,660.60, 5,491.30 and 3,545.40

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Solution

The fourth proportional to 3,660.60, 5,491.30 and 3,545.40 is: 5,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.60 : 5,491.30 = 3,545.40 : x
  2. Step 2: Convert to fraction form
    3,660.60/5,491.30 = 3,545.40/x
  3. Step 3: Cross multiply
    3,660.60x = 5,491.30 × 3,545.40
  4. Step 4: Simplify right side
    3,660.60x = 19,468,855.02
  5. Step 5: Solve for x
    x = 19,468,855.02/3,660.60
  6. Step 6: Final answer
    x = 5,318.49

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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.