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Finding the Fourth Proportional to 5,704.47, 7,865.95 and 3,711.33

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Solution

The fourth proportional to 5,704.47, 7,865.95 and 3,711.33 is: 5,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.47 : 7,865.95 = 3,711.33 : x
  2. Step 2: Convert to fraction form
    5,704.47/7,865.95 = 3,711.33/x
  3. Step 3: Cross multiply
    5,704.47x = 7,865.95 × 3,711.33
  4. Step 4: Simplify right side
    5,704.47x = 29,193,136.21
  5. Step 5: Solve for x
    x = 29,193,136.21/5,704.47
  6. Step 6: Final answer
    x = 5,117.59

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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.