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Finding the Fourth Proportional to 5,663.28, 7,814.76 and 3,144.78

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Solution

The fourth proportional to 5,663.28, 7,814.76 and 3,144.78 is: 4,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.28 : 7,814.76 = 3,144.78 : x
  2. Step 2: Convert to fraction form
    5,663.28/7,814.76 = 3,144.78/x
  3. Step 3: Cross multiply
    5,663.28x = 7,814.76 × 3,144.78
  4. Step 4: Simplify right side
    5,663.28x = 24,575,700.95
  5. Step 5: Solve for x
    x = 24,575,700.95/5,663.28
  6. Step 6: Final answer
    x = 4,339.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.