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Finding the Fourth Proportional to 3,275.65, 4,915.50 and 1,327.87

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Solution

The fourth proportional to 3,275.65, 4,915.50 and 1,327.87 is: 1,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.65 : 4,915.50 = 1,327.87 : x
  2. Step 2: Convert to fraction form
    3,275.65/4,915.50 = 1,327.87/x
  3. Step 3: Cross multiply
    3,275.65x = 4,915.50 × 1,327.87
  4. Step 4: Simplify right side
    3,275.65x = 6,527,144.99
  5. Step 5: Solve for x
    x = 6,527,144.99/3,275.65
  6. Step 6: Final answer
    x = 1,992.63

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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.