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Finding the Fourth Proportional to 6,294.28, 8,686.16 and 3,461.92

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Solution

The fourth proportional to 6,294.28, 8,686.16 and 3,461.92 is: 4,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.28 : 8,686.16 = 3,461.92 : x
  2. Step 2: Convert to fraction form
    6,294.28/8,686.16 = 3,461.92/x
  3. Step 3: Cross multiply
    6,294.28x = 8,686.16 × 3,461.92
  4. Step 4: Simplify right side
    6,294.28x = 30,070,791.03
  5. Step 5: Solve for x
    x = 30,070,791.03/6,294.28
  6. Step 6: Final answer
    x = 4,777.48

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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.