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Finding the Fourth Proportional to 6,594.26, 9,101.10 and 3,761.64

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Solution

The fourth proportional to 6,594.26, 9,101.10 and 3,761.64 is: 5,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.26 : 9,101.10 = 3,761.64 : x
  2. Step 2: Convert to fraction form
    6,594.26/9,101.10 = 3,761.64/x
  3. Step 3: Cross multiply
    6,594.26x = 9,101.10 × 3,761.64
  4. Step 4: Simplify right side
    6,594.26x = 34,235,061.80
  5. Step 5: Solve for x
    x = 34,235,061.80/6,594.26
  6. Step 6: Final answer
    x = 5,191.65

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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.