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Finding the Fourth Proportional to 5,886.68, 8,122.74 and 3,234.20

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Solution

The fourth proportional to 5,886.68, 8,122.74 and 3,234.20 is: 4,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.68 : 8,122.74 = 3,234.20 : x
  2. Step 2: Convert to fraction form
    5,886.68/8,122.74 = 3,234.20/x
  3. Step 3: Cross multiply
    5,886.68x = 8,122.74 × 3,234.20
  4. Step 4: Simplify right side
    5,886.68x = 26,270,565.71
  5. Step 5: Solve for x
    x = 26,270,565.71/5,886.68
  6. Step 6: Final answer
    x = 4,462.71

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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.