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Finding the Fourth Proportional to 5,766.49, 8,649.72 and 4,126.24

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Solution

The fourth proportional to 5,766.49, 8,649.72 and 4,126.24 is: 6,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.49 : 8,649.72 = 4,126.24 : x
  2. Step 2: Convert to fraction form
    5,766.49/8,649.72 = 4,126.24/x
  3. Step 3: Cross multiply
    5,766.49x = 8,649.72 × 4,126.24
  4. Step 4: Simplify right side
    5,766.49x = 35,690,777.40
  5. Step 5: Solve for x
    x = 35,690,777.40/5,766.49
  6. Step 6: Final answer
    x = 6,189.35

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