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Finding the Fourth Proportional to 5,708, 8,565.60 and 2,245.44

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Solution

The fourth proportional to 5,708, 8,565.60 and 2,245.44 is: 3,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708 : 8,565.60 = 2,245.44 : x
  2. Step 2: Convert to fraction form
    5,708/8,565.60 = 2,245.44/x
  3. Step 3: Cross multiply
    5,708x = 8,565.60 × 2,245.44
  4. Step 4: Simplify right side
    5,708x = 19,233,540.86
  5. Step 5: Solve for x
    x = 19,233,540.86/5,708
  6. Step 6: Final answer
    x = 3,369.58

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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.