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Finding the Fourth Proportional to 5,307.22, 7,961.24 and 1,609.76

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Solution

The fourth proportional to 5,307.22, 7,961.24 and 1,609.76 is: 2,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.22 : 7,961.24 = 1,609.76 : x
  2. Step 2: Convert to fraction form
    5,307.22/7,961.24 = 1,609.76/x
  3. Step 3: Cross multiply
    5,307.22x = 7,961.24 × 1,609.76
  4. Step 4: Simplify right side
    5,307.22x = 12,815,637.85
  5. Step 5: Solve for x
    x = 12,815,637.85/5,307.22
  6. Step 6: Final answer
    x = 2,414.76

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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.