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Finding the Fourth Proportional to 6,102.90, 9,151.02 and 2,591.82

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Solution

The fourth proportional to 6,102.90, 9,151.02 and 2,591.82 is: 3,886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.90 : 9,151.02 = 2,591.82 : x
  2. Step 2: Convert to fraction form
    6,102.90/9,151.02 = 2,591.82/x
  3. Step 3: Cross multiply
    6,102.90x = 9,151.02 × 2,591.82
  4. Step 4: Simplify right side
    6,102.90x = 23,717,796.66
  5. Step 5: Solve for x
    x = 23,717,796.66/6,102.90
  6. Step 6: Final answer
    x = 3,886.32

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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.