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Finding the Fourth Proportional to 4,104.97, 6,158.06 and 1,507.71

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Solution

The fourth proportional to 4,104.97, 6,158.06 and 1,507.71 is: 2,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.97 : 6,158.06 = 1,507.71 : x
  2. Step 2: Convert to fraction form
    4,104.97/6,158.06 = 1,507.71/x
  3. Step 3: Cross multiply
    4,104.97x = 6,158.06 × 1,507.71
  4. Step 4: Simplify right side
    4,104.97x = 9,284,541.62
  5. Step 5: Solve for x
    x = 9,284,541.62/4,104.97
  6. Step 6: Final answer
    x = 2,261.78

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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.