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Finding the Fourth Proportional to 5,759.24, 7,948.33 and 3,770.89

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Solution

The fourth proportional to 5,759.24, 7,948.33 and 3,770.89 is: 5,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.24 : 7,948.33 = 3,770.89 : x
  2. Step 2: Convert to fraction form
    5,759.24/7,948.33 = 3,770.89/x
  3. Step 3: Cross multiply
    5,759.24x = 7,948.33 × 3,770.89
  4. Step 4: Simplify right side
    5,759.24x = 29,972,248.82
  5. Step 5: Solve for x
    x = 29,972,248.82/5,759.24
  6. Step 6: Final answer
    x = 5,204.21

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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.