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Finding the Fourth Proportional to 3,497.78, 5,248.43 and 1,306.73

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Solution

The fourth proportional to 3,497.78, 5,248.43 and 1,306.73 is: 1,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.78 : 5,248.43 = 1,306.73 : x
  2. Step 2: Convert to fraction form
    3,497.78/5,248.43 = 1,306.73/x
  3. Step 3: Cross multiply
    3,497.78x = 5,248.43 × 1,306.73
  4. Step 4: Simplify right side
    3,497.78x = 6,858,280.93
  5. Step 5: Solve for x
    x = 6,858,280.93/3,497.78
  6. Step 6: Final answer
    x = 1,960.75

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1.5x scale

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.