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Finding the Fourth Proportional to 3,616.78, 5,425.20 and 1,019.74

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Solution

The fourth proportional to 3,616.78, 5,425.20 and 1,019.74 is: 1,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.78 : 5,425.20 = 1,019.74 : x
  2. Step 2: Convert to fraction form
    3,616.78/5,425.20 = 1,019.74/x
  3. Step 3: Cross multiply
    3,616.78x = 5,425.20 × 1,019.74
  4. Step 4: Simplify right side
    3,616.78x = 5,532,293.45
  5. Step 5: Solve for x
    x = 5,532,293.45/3,616.78
  6. Step 6: Final answer
    x = 1,529.62

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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.