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Finding the Fourth Proportional to 3,472.89, 5,207.68 and 1,280.08

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Solution

The fourth proportional to 3,472.89, 5,207.68 and 1,280.08 is: 1,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.89 : 5,207.68 = 1,280.08 : x
  2. Step 2: Convert to fraction form
    3,472.89/5,207.68 = 1,280.08/x
  3. Step 3: Cross multiply
    3,472.89x = 5,207.68 × 1,280.08
  4. Step 4: Simplify right side
    3,472.89x = 6,666,238.68
  5. Step 5: Solve for x
    x = 6,666,238.68/3,472.89
  6. Step 6: Final answer
    x = 1,919.51

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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.