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Finding the Fourth Proportional to 5,931.54, 8,185.31 and 3,414.47

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Solution

The fourth proportional to 5,931.54, 8,185.31 and 3,414.47 is: 4,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.54 : 8,185.31 = 3,414.47 : x
  2. Step 2: Convert to fraction form
    5,931.54/8,185.31 = 3,414.47/x
  3. Step 3: Cross multiply
    5,931.54x = 8,185.31 × 3,414.47
  4. Step 4: Simplify right side
    5,931.54x = 27,948,437.44
  5. Step 5: Solve for x
    x = 27,948,437.44/5,931.54
  6. Step 6: Final answer
    x = 4,711.83

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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.