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Finding the Fourth Proportional to 5,120.87, 7,684.29 and 2,159.13

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Solution

The fourth proportional to 5,120.87, 7,684.29 and 2,159.13 is: 3,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.87 : 7,684.29 = 2,159.13 : x
  2. Step 2: Convert to fraction form
    5,120.87/7,684.29 = 2,159.13/x
  3. Step 3: Cross multiply
    5,120.87x = 7,684.29 × 2,159.13
  4. Step 4: Simplify right side
    5,120.87x = 16,591,381.07
  5. Step 5: Solve for x
    x = 16,591,381.07/5,120.87
  6. Step 6: Final answer
    x = 3,239.95

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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.