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Finding the Fourth Proportional to 2,838.75, 3,915.84 and 2,357.49

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Solution

The fourth proportional to 2,838.75, 3,915.84 and 2,357.49 is: 3,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.75 : 3,915.84 = 2,357.49 : x
  2. Step 2: Convert to fraction form
    2,838.75/3,915.84 = 2,357.49/x
  3. Step 3: Cross multiply
    2,838.75x = 3,915.84 × 2,357.49
  4. Step 4: Simplify right side
    2,838.75x = 9,231,553.64
  5. Step 5: Solve for x
    x = 9,231,553.64/2,838.75
  6. Step 6: Final answer
    x = 3,251.98

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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.