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Finding the Fourth Proportional to 5,144.78, 7,715.35 and 2,221.49

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Solution

The fourth proportional to 5,144.78, 7,715.35 and 2,221.49 is: 3,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.78 : 7,715.35 = 2,221.49 : x
  2. Step 2: Convert to fraction form
    5,144.78/7,715.35 = 2,221.49/x
  3. Step 3: Cross multiply
    5,144.78x = 7,715.35 × 2,221.49
  4. Step 4: Simplify right side
    5,144.78x = 17,139,594.94
  5. Step 5: Solve for x
    x = 17,139,594.94/5,144.78
  6. Step 6: Final answer
    x = 3,331.45

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