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Finding the Fourth Proportional to 6,142.27, 8,476.47 and 3,625

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Solution

The fourth proportional to 6,142.27, 8,476.47 and 3,625 is: 5,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.27 : 8,476.47 = 3,625 : x
  2. Step 2: Convert to fraction form
    6,142.27/8,476.47 = 3,625/x
  3. Step 3: Cross multiply
    6,142.27x = 8,476.47 × 3,625
  4. Step 4: Simplify right side
    6,142.27x = 30,727,203.75
  5. Step 5: Solve for x
    x = 30,727,203.75/6,142.27
  6. Step 6: Final answer
    x = 5,002.58

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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.