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Finding the Fourth Proportional to 5,871.62, 8,810.30 and 2,584.31

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Solution

The fourth proportional to 5,871.62, 8,810.30 and 2,584.31 is: 3,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.62 : 8,810.30 = 2,584.31 : x
  2. Step 2: Convert to fraction form
    5,871.62/8,810.30 = 2,584.31/x
  3. Step 3: Cross multiply
    5,871.62x = 8,810.30 × 2,584.31
  4. Step 4: Simplify right side
    5,871.62x = 22,768,508.80
  5. Step 5: Solve for x
    x = 22,768,508.80/5,871.62
  6. Step 6: Final answer
    x = 3,877.72

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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.