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Finding the Fourth Proportional to 6,139.14, 8,471.88 and 3,344.64

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Solution

The fourth proportional to 6,139.14, 8,471.88 and 3,344.64 is: 4,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.14 : 8,471.88 = 3,344.64 : x
  2. Step 2: Convert to fraction form
    6,139.14/8,471.88 = 3,344.64/x
  3. Step 3: Cross multiply
    6,139.14x = 8,471.88 × 3,344.64
  4. Step 4: Simplify right side
    6,139.14x = 28,335,388.72
  5. Step 5: Solve for x
    x = 28,335,388.72/6,139.14
  6. Step 6: Final answer
    x = 4,615.53

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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.