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Finding the Fourth Proportional to 3,624.92, 5,436.88 and 1,159.96

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Solution

The fourth proportional to 3,624.92, 5,436.88 and 1,159.96 is: 1,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.92 : 5,436.88 = 1,159.96 : x
  2. Step 2: Convert to fraction form
    3,624.92/5,436.88 = 1,159.96/x
  3. Step 3: Cross multiply
    3,624.92x = 5,436.88 × 1,159.96
  4. Step 4: Simplify right side
    3,624.92x = 6,306,563.32
  5. Step 5: Solve for x
    x = 6,306,563.32/3,624.92
  6. Step 6: Final answer
    x = 1,739.78

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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.