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Finding the Fourth Proportional to 5,758.14, 7,947.56 and 3,369.22

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Solution

The fourth proportional to 5,758.14, 7,947.56 and 3,369.22 is: 4,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.14 : 7,947.56 = 3,369.22 : x
  2. Step 2: Convert to fraction form
    5,758.14/7,947.56 = 3,369.22/x
  3. Step 3: Cross multiply
    5,758.14x = 7,947.56 × 3,369.22
  4. Step 4: Simplify right side
    5,758.14x = 26,777,061.26
  5. Step 5: Solve for x
    x = 26,777,061.26/5,758.14
  6. Step 6: Final answer
    x = 4,650.30

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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.