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Finding the Fourth Proportional to 5,754.14, 8,639.85 and 3,291.74

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Solution

The fourth proportional to 5,754.14, 8,639.85 and 3,291.74 is: 4,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.14 : 8,639.85 = 3,291.74 : x
  2. Step 2: Convert to fraction form
    5,754.14/8,639.85 = 3,291.74/x
  3. Step 3: Cross multiply
    5,754.14x = 8,639.85 × 3,291.74
  4. Step 4: Simplify right side
    5,754.14x = 28,440,139.84
  5. Step 5: Solve for x
    x = 28,440,139.84/5,754.14
  6. Step 6: Final answer
    x = 4,942.55

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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.