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Finding the Fourth Proportional to 3,624.30, 5,436.48 and 991.80

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Solution

The fourth proportional to 3,624.30, 5,436.48 and 991.80 is: 1,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.30 : 5,436.48 = 991.80 : x
  2. Step 2: Convert to fraction form
    3,624.30/5,436.48 = 991.80/x
  3. Step 3: Cross multiply
    3,624.30x = 5,436.48 × 991.80
  4. Step 4: Simplify right side
    3,624.30x = 5,391,900.86
  5. Step 5: Solve for x
    x = 5,391,900.86/3,624.30
  6. Step 6: Final answer
    x = 1,487.71

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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.