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Finding the Fourth Proportional to 4,500.31, 6,751.76 and 1,380.78

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Solution

The fourth proportional to 4,500.31, 6,751.76 and 1,380.78 is: 2,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.31 : 6,751.76 = 1,380.78 : x
  2. Step 2: Convert to fraction form
    4,500.31/6,751.76 = 1,380.78/x
  3. Step 3: Cross multiply
    4,500.31x = 6,751.76 × 1,380.78
  4. Step 4: Simplify right side
    4,500.31x = 9,322,673.31
  5. Step 5: Solve for x
    x = 9,322,673.31/4,500.31
  6. Step 6: Final answer
    x = 2,071.56

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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.