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Finding the Fourth Proportional to 5,565.44, 7,676.16 and 3,467

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Solution

The fourth proportional to 5,565.44, 7,676.16 and 3,467 is: 4,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.44 : 7,676.16 = 3,467 : x
  2. Step 2: Convert to fraction form
    5,565.44/7,676.16 = 3,467/x
  3. Step 3: Cross multiply
    5,565.44x = 7,676.16 × 3,467
  4. Step 4: Simplify right side
    5,565.44x = 26,613,246.72
  5. Step 5: Solve for x
    x = 26,613,246.72/5,565.44
  6. Step 6: Final answer
    x = 4,781.88

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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.