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Finding the Fourth Proportional to 5,414.64, 8,122.86 and 2,125.98

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Solution

The fourth proportional to 5,414.64, 8,122.86 and 2,125.98 is: 3,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.64 : 8,122.86 = 2,125.98 : x
  2. Step 2: Convert to fraction form
    5,414.64/8,122.86 = 2,125.98/x
  3. Step 3: Cross multiply
    5,414.64x = 8,122.86 × 2,125.98
  4. Step 4: Simplify right side
    5,414.64x = 17,269,037.90
  5. Step 5: Solve for x
    x = 17,269,037.90/5,414.64
  6. Step 6: Final answer
    x = 3,189.32

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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.