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Finding the Fourth Proportional to 5,660.18, 8,499.84 and 3,689.16

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Solution

The fourth proportional to 5,660.18, 8,499.84 and 3,689.16 is: 5,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.18 : 8,499.84 = 3,689.16 : x
  2. Step 2: Convert to fraction form
    5,660.18/8,499.84 = 3,689.16/x
  3. Step 3: Cross multiply
    5,660.18x = 8,499.84 × 3,689.16
  4. Step 4: Simplify right side
    5,660.18x = 31,357,269.73
  5. Step 5: Solve for x
    x = 31,357,269.73/5,660.18
  6. Step 6: Final answer
    x = 5,539.98

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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.