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Finding the Fourth Proportional to 3,487.91, 5,231.72 and 1,295.78

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Solution

The fourth proportional to 3,487.91, 5,231.72 and 1,295.78 is: 1,943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.91 : 5,231.72 = 1,295.78 : x
  2. Step 2: Convert to fraction form
    3,487.91/5,231.72 = 1,295.78/x
  3. Step 3: Cross multiply
    3,487.91x = 5,231.72 × 1,295.78
  4. Step 4: Simplify right side
    3,487.91x = 6,779,135.22
  5. Step 5: Solve for x
    x = 6,779,135.22/3,487.91
  6. Step 6: Final answer
    x = 1,943.61

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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.