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Finding the Fourth Proportional to 5,170.88, 7,754.95 and 2,248.50

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Solution

The fourth proportional to 5,170.88, 7,754.95 and 2,248.50 is: 3,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.88 : 7,754.95 = 2,248.50 : x
  2. Step 2: Convert to fraction form
    5,170.88/7,754.95 = 2,248.50/x
  3. Step 3: Cross multiply
    5,170.88x = 7,754.95 × 2,248.50
  4. Step 4: Simplify right side
    5,170.88x = 17,436,999.45
  5. Step 5: Solve for x
    x = 17,436,999.45/5,170.88
  6. Step 6: Final answer
    x = 3,372.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.