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Finding the Fourth Proportional to 5,842.54, 8,760.57 and 1,944.82

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Solution

The fourth proportional to 5,842.54, 8,760.57 and 1,944.82 is: 2,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.54 : 8,760.57 = 1,944.82 : x
  2. Step 2: Convert to fraction form
    5,842.54/8,760.57 = 1,944.82/x
  3. Step 3: Cross multiply
    5,842.54x = 8,760.57 × 1,944.82
  4. Step 4: Simplify right side
    5,842.54x = 17,037,731.75
  5. Step 5: Solve for x
    x = 17,037,731.75/5,842.54
  6. Step 6: Final answer
    x = 2,916.15

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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.