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Finding the Fourth Proportional to 3,624.71, 5,436.87 and 992.02

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Solution

The fourth proportional to 3,624.71, 5,436.87 and 992.02 is: 1,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.71 : 5,436.87 = 992.02 : x
  2. Step 2: Convert to fraction form
    3,624.71/5,436.87 = 992.02/x
  3. Step 3: Cross multiply
    3,624.71x = 5,436.87 × 992.02
  4. Step 4: Simplify right side
    3,624.71x = 5,393,502.72
  5. Step 5: Solve for x
    x = 5,393,502.72/3,624.71
  6. Step 6: Final answer
    x = 1,487.98

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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.