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Finding the Fourth Proportional to 5,643.17, 8,462.48 and 1,944.41

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Solution

The fourth proportional to 5,643.17, 8,462.48 and 1,944.41 is: 2,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.17 : 8,462.48 = 1,944.41 : x
  2. Step 2: Convert to fraction form
    5,643.17/8,462.48 = 1,944.41/x
  3. Step 3: Cross multiply
    5,643.17x = 8,462.48 × 1,944.41
  4. Step 4: Simplify right side
    5,643.17x = 16,454,478.70
  5. Step 5: Solve for x
    x = 16,454,478.70/5,643.17
  6. Step 6: Final answer
    x = 2,915.82

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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.