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Finding the Fourth Proportional to 5,794.18, 8,691.30 and 2,871.80

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Solution

The fourth proportional to 5,794.18, 8,691.30 and 2,871.80 is: 4,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.18 : 8,691.30 = 2,871.80 : x
  2. Step 2: Convert to fraction form
    5,794.18/8,691.30 = 2,871.80/x
  3. Step 3: Cross multiply
    5,794.18x = 8,691.30 × 2,871.80
  4. Step 4: Simplify right side
    5,794.18x = 24,959,713.36
  5. Step 5: Solve for x
    x = 24,959,713.36/5,794.18
  6. Step 6: Final answer
    x = 4,307.72

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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.