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Finding the Fourth Proportional to 5,645.86, 8,469.92 and 1,948.23

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Solution

The fourth proportional to 5,645.86, 8,469.92 and 1,948.23 is: 2,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.86 : 8,469.92 = 1,948.23 : x
  2. Step 2: Convert to fraction form
    5,645.86/8,469.92 = 1,948.23/x
  3. Step 3: Cross multiply
    5,645.86x = 8,469.92 × 1,948.23
  4. Step 4: Simplify right side
    5,645.86x = 16,501,357.11
  5. Step 5: Solve for x
    x = 16,501,357.11/5,645.86
  6. Step 6: Final answer
    x = 2,922.74

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Similar ratio
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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.