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Finding the Fourth Proportional to 5,588.70, 8,382.57 and 1,639.65

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Solution

The fourth proportional to 5,588.70, 8,382.57 and 1,639.65 is: 2,459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.70 : 8,382.57 = 1,639.65 : x
  2. Step 2: Convert to fraction form
    5,588.70/8,382.57 = 1,639.65/x
  3. Step 3: Cross multiply
    5,588.70x = 8,382.57 × 1,639.65
  4. Step 4: Simplify right side
    5,588.70x = 13,744,480.90
  5. Step 5: Solve for x
    x = 13,744,480.90/5,588.70
  6. Step 6: Final answer
    x = 2,459.33

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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.