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Finding the Fourth Proportional to 6,115.90, 9,166.65 and 2,605.90

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Solution

The fourth proportional to 6,115.90, 9,166.65 and 2,605.90 is: 3,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.90 : 9,166.65 = 2,605.90 : x
  2. Step 2: Convert to fraction form
    6,115.90/9,166.65 = 2,605.90/x
  3. Step 3: Cross multiply
    6,115.90x = 9,166.65 × 2,605.90
  4. Step 4: Simplify right side
    6,115.90x = 23,887,373.24
  5. Step 5: Solve for x
    x = 23,887,373.24/6,115.90
  6. Step 6: Final answer
    x = 3,905.78

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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.