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Finding the Fourth Proportional to 5,565.38, 7,680.20 and 3,047.47

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Solution

The fourth proportional to 5,565.38, 7,680.20 and 3,047.47 is: 4,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.38 : 7,680.20 = 3,047.47 : x
  2. Step 2: Convert to fraction form
    5,565.38/7,680.20 = 3,047.47/x
  3. Step 3: Cross multiply
    5,565.38x = 7,680.20 × 3,047.47
  4. Step 4: Simplify right side
    5,565.38x = 23,405,144.66
  5. Step 5: Solve for x
    x = 23,405,144.66/5,565.38
  6. Step 6: Final answer
    x = 4,205.49

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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.