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Finding the Fourth Proportional to 5,265.74, 7,899.68 and 1,567.64

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Solution

The fourth proportional to 5,265.74, 7,899.68 and 1,567.64 is: 2,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.74 : 7,899.68 = 1,567.64 : x
  2. Step 2: Convert to fraction form
    5,265.74/7,899.68 = 1,567.64/x
  3. Step 3: Cross multiply
    5,265.74x = 7,899.68 × 1,567.64
  4. Step 4: Simplify right side
    5,265.74x = 12,383,854.36
  5. Step 5: Solve for x
    x = 12,383,854.36/5,265.74
  6. Step 6: Final answer
    x = 2,351.78

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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.