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Finding the Fourth Proportional to 5,774.46, 8,661.69 and 2,314.14

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Solution

The fourth proportional to 5,774.46, 8,661.69 and 2,314.14 is: 3,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.46 : 8,661.69 = 2,314.14 : x
  2. Step 2: Convert to fraction form
    5,774.46/8,661.69 = 2,314.14/x
  3. Step 3: Cross multiply
    5,774.46x = 8,661.69 × 2,314.14
  4. Step 4: Simplify right side
    5,774.46x = 20,044,363.30
  5. Step 5: Solve for x
    x = 20,044,363.30/5,774.46
  6. Step 6: Final answer
    x = 3,471.21

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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.