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Finding the Fourth Proportional to 4,489.54, 6,734.78 and 1,567.87

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Solution

The fourth proportional to 4,489.54, 6,734.78 and 1,567.87 is: 2,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.54 : 6,734.78 = 1,567.87 : x
  2. Step 2: Convert to fraction form
    4,489.54/6,734.78 = 1,567.87/x
  3. Step 3: Cross multiply
    4,489.54x = 6,734.78 × 1,567.87
  4. Step 4: Simplify right side
    4,489.54x = 10,559,240.72
  5. Step 5: Solve for x
    x = 10,559,240.72/4,489.54
  6. Step 6: Final answer
    x = 2,351.97

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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.