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Finding the Fourth Proportional to 5,367.42, 8,051.22 and 1,471.92

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Solution

The fourth proportional to 5,367.42, 8,051.22 and 1,471.92 is: 2,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.42 : 8,051.22 = 1,471.92 : x
  2. Step 2: Convert to fraction form
    5,367.42/8,051.22 = 1,471.92/x
  3. Step 3: Cross multiply
    5,367.42x = 8,051.22 × 1,471.92
  4. Step 4: Simplify right side
    5,367.42x = 11,850,751.74
  5. Step 5: Solve for x
    x = 11,850,751.74/5,367.42
  6. Step 6: Final answer
    x = 2,207.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.