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Finding the Fourth Proportional to 3,914.54, 5,397.74 and 2,496

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Solution

The fourth proportional to 3,914.54, 5,397.74 and 2,496 is: 3,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.54 : 5,397.74 = 2,496 : x
  2. Step 2: Convert to fraction form
    3,914.54/5,397.74 = 2,496/x
  3. Step 3: Cross multiply
    3,914.54x = 5,397.74 × 2,496
  4. Step 4: Simplify right side
    3,914.54x = 13,472,759.04
  5. Step 5: Solve for x
    x = 13,472,759.04/3,914.54
  6. Step 6: Final answer
    x = 3,441.72

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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.