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Finding the Fourth Proportional to 4,141.53, 5,713.85 and 2,348.74

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Solution

The fourth proportional to 4,141.53, 5,713.85 and 2,348.74 is: 3,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.53 : 5,713.85 = 2,348.74 : x
  2. Step 2: Convert to fraction form
    4,141.53/5,713.85 = 2,348.74/x
  3. Step 3: Cross multiply
    4,141.53x = 5,713.85 × 2,348.74
  4. Step 4: Simplify right side
    4,141.53x = 13,420,361.06
  5. Step 5: Solve for x
    x = 13,420,361.06/4,141.53
  6. Step 6: Final answer
    x = 3,240.44

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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.