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Finding the Fourth Proportional to 3,765.67, 5,648.05 and 992.55

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Solution

The fourth proportional to 3,765.67, 5,648.05 and 992.55 is: 1,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.67 : 5,648.05 = 992.55 : x
  2. Step 2: Convert to fraction form
    3,765.67/5,648.05 = 992.55/x
  3. Step 3: Cross multiply
    3,765.67x = 5,648.05 × 992.55
  4. Step 4: Simplify right side
    3,765.67x = 5,605,972.03
  5. Step 5: Solve for x
    x = 5,605,972.03/3,765.67
  6. Step 6: Final answer
    x = 1,488.71

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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.