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Finding the Fourth Proportional to 7,042.98, 9,718.88 and 3,899.24

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Solution

The fourth proportional to 7,042.98, 9,718.88 and 3,899.24 is: 5,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.98 : 9,718.88 = 3,899.24 : x
  2. Step 2: Convert to fraction form
    7,042.98/9,718.88 = 3,899.24/x
  3. Step 3: Cross multiply
    7,042.98x = 9,718.88 × 3,899.24
  4. Step 4: Simplify right side
    7,042.98x = 37,896,177.56
  5. Step 5: Solve for x
    x = 37,896,177.56/7,042.98
  6. Step 6: Final answer
    x = 5,380.70

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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.