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Finding the Fourth Proportional to 6,142.24, 8,476.28 and 3,489.64

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Solution

The fourth proportional to 6,142.24, 8,476.28 and 3,489.64 is: 4,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.24 : 8,476.28 = 3,489.64 : x
  2. Step 2: Convert to fraction form
    6,142.24/8,476.28 = 3,489.64/x
  3. Step 3: Cross multiply
    6,142.24x = 8,476.28 × 3,489.64
  4. Step 4: Simplify right side
    6,142.24x = 29,579,165.74
  5. Step 5: Solve for x
    x = 29,579,165.74/6,142.24
  6. Step 6: Final answer
    x = 4,815.70

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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.