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Finding the Fourth Proportional to 5,758.49, 7,944.58 and 3,770.15

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Solution

The fourth proportional to 5,758.49, 7,944.58 and 3,770.15 is: 5,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.49 : 7,944.58 = 3,770.15 : x
  2. Step 2: Convert to fraction form
    5,758.49/7,944.58 = 3,770.15/x
  3. Step 3: Cross multiply
    5,758.49x = 7,944.58 × 3,770.15
  4. Step 4: Simplify right side
    5,758.49x = 29,952,223.28
  5. Step 5: Solve for x
    x = 29,952,223.28/5,758.49
  6. Step 6: Final answer
    x = 5,201.40

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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.