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Finding the Fourth Proportional to 5,891.57, 8,129.59 and 3,652.63

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Solution

The fourth proportional to 5,891.57, 8,129.59 and 3,652.63 is: 5,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.57 : 8,129.59 = 3,652.63 : x
  2. Step 2: Convert to fraction form
    5,891.57/8,129.59 = 3,652.63/x
  3. Step 3: Cross multiply
    5,891.57x = 8,129.59 × 3,652.63
  4. Step 4: Simplify right side
    5,891.57x = 29,694,385.35
  5. Step 5: Solve for x
    x = 29,694,385.35/5,891.57
  6. Step 6: Final answer
    x = 5,040.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.