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Finding the Fourth Proportional to 5,942.82, 8,913.54 and 1,560.62

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Solution

The fourth proportional to 5,942.82, 8,913.54 and 1,560.62 is: 2,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.82 : 8,913.54 = 1,560.62 : x
  2. Step 2: Convert to fraction form
    5,942.82/8,913.54 = 1,560.62/x
  3. Step 3: Cross multiply
    5,942.82x = 8,913.54 × 1,560.62
  4. Step 4: Simplify right side
    5,942.82x = 13,910,648.79
  5. Step 5: Solve for x
    x = 13,910,648.79/5,942.82
  6. Step 6: Final answer
    x = 2,340.75

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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.