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Finding the Fourth Proportional to 6,592.94, 9,098.64 and 3,761.18

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Solution

The fourth proportional to 6,592.94, 9,098.64 and 3,761.18 is: 5,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.94 : 9,098.64 = 3,761.18 : x
  2. Step 2: Convert to fraction form
    6,592.94/9,098.64 = 3,761.18/x
  3. Step 3: Cross multiply
    6,592.94x = 9,098.64 × 3,761.18
  4. Step 4: Simplify right side
    6,592.94x = 34,221,622.80
  5. Step 5: Solve for x
    x = 34,221,622.80/6,592.94
  6. Step 6: Final answer
    x = 5,190.65

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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.