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Finding the Fourth Proportional to 6,159.26, 8,498.49 and 3,640.10

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Solution

The fourth proportional to 6,159.26, 8,498.49 and 3,640.10 is: 5,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.26 : 8,498.49 = 3,640.10 : x
  2. Step 2: Convert to fraction form
    6,159.26/8,498.49 = 3,640.10/x
  3. Step 3: Cross multiply
    6,159.26x = 8,498.49 × 3,640.10
  4. Step 4: Simplify right side
    6,159.26x = 30,935,310.96
  5. Step 5: Solve for x
    x = 30,935,310.96/6,159.26
  6. Step 6: Final answer
    x = 5,022.57

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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.