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Finding the Fourth Proportional to 3,687.32, 5,517.98 and 2,301.30

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Solution

The fourth proportional to 3,687.32, 5,517.98 and 2,301.30 is: 3,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.32 : 5,517.98 = 2,301.30 : x
  2. Step 2: Convert to fraction form
    3,687.32/5,517.98 = 2,301.30/x
  3. Step 3: Cross multiply
    3,687.32x = 5,517.98 × 2,301.30
  4. Step 4: Simplify right side
    3,687.32x = 12,698,515.87
  5. Step 5: Solve for x
    x = 12,698,515.87/3,687.32
  6. Step 6: Final answer
    x = 3,443.84

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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.