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Finding the Fourth Proportional to 6,141.28, 8,473.80 and 3,487.72

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Solution

The fourth proportional to 6,141.28, 8,473.80 and 3,487.72 is: 4,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.28 : 8,473.80 = 3,487.72 : x
  2. Step 2: Convert to fraction form
    6,141.28/8,473.80 = 3,487.72/x
  3. Step 3: Cross multiply
    6,141.28x = 8,473.80 × 3,487.72
  4. Step 4: Simplify right side
    6,141.28x = 29,554,241.74
  5. Step 5: Solve for x
    x = 29,554,241.74/6,141.28
  6. Step 6: Final answer
    x = 4,812.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.