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Finding the Fourth Proportional to 3,728.53, 5,143.35 and 2,311.74

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Solution

The fourth proportional to 3,728.53, 5,143.35 and 2,311.74 is: 3,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.53 : 5,143.35 = 2,311.74 : x
  2. Step 2: Convert to fraction form
    3,728.53/5,143.35 = 2,311.74/x
  3. Step 3: Cross multiply
    3,728.53x = 5,143.35 × 2,311.74
  4. Step 4: Simplify right side
    3,728.53x = 11,890,083.59
  5. Step 5: Solve for x
    x = 11,890,083.59/3,728.53
  6. Step 6: Final answer
    x = 3,188.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.