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Finding the Fourth Proportional to 5,766.12, 8,650.17 and 4,396.50

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Solution

The fourth proportional to 5,766.12, 8,650.17 and 4,396.50 is: 6,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.12 : 8,650.17 = 4,396.50 : x
  2. Step 2: Convert to fraction form
    5,766.12/8,650.17 = 4,396.50/x
  3. Step 3: Cross multiply
    5,766.12x = 8,650.17 × 4,396.50
  4. Step 4: Simplify right side
    5,766.12x = 38,030,472.41
  5. Step 5: Solve for x
    x = 38,030,472.41/5,766.12
  6. Step 6: Final answer
    x = 6,595.50

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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.