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Finding the Fourth Proportional to 5,871.88, 8,098.48 and 5,162.22

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Solution

The fourth proportional to 5,871.88, 8,098.48 and 5,162.22 is: 7,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.88 : 8,098.48 = 5,162.22 : x
  2. Step 2: Convert to fraction form
    5,871.88/8,098.48 = 5,162.22/x
  3. Step 3: Cross multiply
    5,871.88x = 8,098.48 × 5,162.22
  4. Step 4: Simplify right side
    5,871.88x = 41,806,133.62
  5. Step 5: Solve for x
    x = 41,806,133.62/5,871.88
  6. Step 6: Final answer
    x = 7,119.72

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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.