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Finding the Fourth Proportional to 3,922.31, 5,883.15 and 1,000.54

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Solution

The fourth proportional to 3,922.31, 5,883.15 and 1,000.54 is: 1,500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.31 : 5,883.15 = 1,000.54 : x
  2. Step 2: Convert to fraction form
    3,922.31/5,883.15 = 1,000.54/x
  3. Step 3: Cross multiply
    3,922.31x = 5,883.15 × 1,000.54
  4. Step 4: Simplify right side
    3,922.31x = 5,886,326.90
  5. Step 5: Solve for x
    x = 5,886,326.90/3,922.31
  6. Step 6: Final answer
    x = 1,500.73

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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.