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Finding the Fourth Proportional to 5,132.44, 7,693.94 and 1,844.76

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Solution

The fourth proportional to 5,132.44, 7,693.94 and 1,844.76 is: 2,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.44 : 7,693.94 = 1,844.76 : x
  2. Step 2: Convert to fraction form
    5,132.44/7,693.94 = 1,844.76/x
  3. Step 3: Cross multiply
    5,132.44x = 7,693.94 × 1,844.76
  4. Step 4: Simplify right side
    5,132.44x = 14,193,472.75
  5. Step 5: Solve for x
    x = 14,193,472.75/5,132.44
  6. Step 6: Final answer
    x = 2,765.44

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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.