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Finding the Fourth Proportional to 6,041.97, 8,344.25 and 4,158.42

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Solution

The fourth proportional to 6,041.97, 8,344.25 and 4,158.42 is: 5,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.97 : 8,344.25 = 4,158.42 : x
  2. Step 2: Convert to fraction form
    6,041.97/8,344.25 = 4,158.42/x
  3. Step 3: Cross multiply
    6,041.97x = 8,344.25 × 4,158.42
  4. Step 4: Simplify right side
    6,041.97x = 34,698,833.57
  5. Step 5: Solve for x
    x = 34,698,833.57/6,041.97
  6. Step 6: Final answer
    x = 5,742.97

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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.