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Finding the Fourth Proportional to 5,644.28, 7,788.76 and 3,126.50

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Solution

The fourth proportional to 5,644.28, 7,788.76 and 3,126.50 is: 4,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.28 : 7,788.76 = 3,126.50 : x
  2. Step 2: Convert to fraction form
    5,644.28/7,788.76 = 3,126.50/x
  3. Step 3: Cross multiply
    5,644.28x = 7,788.76 × 3,126.50
  4. Step 4: Simplify right side
    5,644.28x = 24,351,540.59
  5. Step 5: Solve for x
    x = 24,351,540.59/5,644.28
  6. Step 6: Final answer
    x = 4,314.37

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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.