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Finding the Fourth Proportional to 6,159.88, 9,239.73 and 2,871.10

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Solution

The fourth proportional to 6,159.88, 9,239.73 and 2,871.10 is: 4,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.88 : 9,239.73 = 2,871.10 : x
  2. Step 2: Convert to fraction form
    6,159.88/9,239.73 = 2,871.10/x
  3. Step 3: Cross multiply
    6,159.88x = 9,239.73 × 2,871.10
  4. Step 4: Simplify right side
    6,159.88x = 26,528,188.80
  5. Step 5: Solve for x
    x = 26,528,188.80/6,159.88
  6. Step 6: Final answer
    x = 4,306.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.