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Finding the Fourth Proportional to 5,186.78, 7,780.16 and 2,224.97

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Solution

The fourth proportional to 5,186.78, 7,780.16 and 2,224.97 is: 3,337.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.78 : 7,780.16 = 2,224.97 : x
  2. Step 2: Convert to fraction form
    5,186.78/7,780.16 = 2,224.97/x
  3. Step 3: Cross multiply
    5,186.78x = 7,780.16 × 2,224.97
  4. Step 4: Simplify right side
    5,186.78x = 17,310,648.29
  5. Step 5: Solve for x
    x = 17,310,648.29/5,186.78
  6. Step 6: Final answer
    x = 3,337.45

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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.