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Finding the Fourth Proportional to 5,701.66, 7,868.28 and 3,343.78

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Solution

The fourth proportional to 5,701.66, 7,868.28 and 3,343.78 is: 4,614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.66 : 7,868.28 = 3,343.78 : x
  2. Step 2: Convert to fraction form
    5,701.66/7,868.28 = 3,343.78/x
  3. Step 3: Cross multiply
    5,701.66x = 7,868.28 × 3,343.78
  4. Step 4: Simplify right side
    5,701.66x = 26,309,797.30
  5. Step 5: Solve for x
    x = 26,309,797.30/5,701.66
  6. Step 6: Final answer
    x = 4,614.41

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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.