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Finding the Fourth Proportional to 5,565.88, 7,676.48 and 3,576.64

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Solution

The fourth proportional to 5,565.88, 7,676.48 and 3,576.64 is: 4,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.88 : 7,676.48 = 3,576.64 : x
  2. Step 2: Convert to fraction form
    5,565.88/7,676.48 = 3,576.64/x
  3. Step 3: Cross multiply
    5,565.88x = 7,676.48 × 3,576.64
  4. Step 4: Simplify right side
    5,565.88x = 27,456,005.43
  5. Step 5: Solve for x
    x = 27,456,005.43/5,565.88
  6. Step 6: Final answer
    x = 4,932.91

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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.