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Finding the Fourth Proportional to 6,342.88, 8,754 and 3,549.28

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Solution

The fourth proportional to 6,342.88, 8,754 and 3,549.28 is: 4,898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.88 : 8,754 = 3,549.28 : x
  2. Step 2: Convert to fraction form
    6,342.88/8,754 = 3,549.28/x
  3. Step 3: Cross multiply
    6,342.88x = 8,754 × 3,549.28
  4. Step 4: Simplify right side
    6,342.88x = 31,070,397.12
  5. Step 5: Solve for x
    x = 31,070,397.12/6,342.88
  6. Step 6: Final answer
    x = 4,898.47

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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.