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Finding the Fourth Proportional to 5,758.80, 7,945.07 and 3,770.49

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Solution

The fourth proportional to 5,758.80, 7,945.07 and 3,770.49 is: 5,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.80 : 7,945.07 = 3,770.49 : x
  2. Step 2: Convert to fraction form
    5,758.80/7,945.07 = 3,770.49/x
  3. Step 3: Cross multiply
    5,758.80x = 7,945.07 × 3,770.49
  4. Step 4: Simplify right side
    5,758.80x = 29,956,788.13
  5. Step 5: Solve for x
    x = 29,956,788.13/5,758.80
  6. Step 6: Final answer
    x = 5,201.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.