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Finding the Fourth Proportional to 3,201.72, 4,805.22 and 2,475.72

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Solution

The fourth proportional to 3,201.72, 4,805.22 and 2,475.72 is: 3,715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.72 : 4,805.22 = 2,475.72 : x
  2. Step 2: Convert to fraction form
    3,201.72/4,805.22 = 2,475.72/x
  3. Step 3: Cross multiply
    3,201.72x = 4,805.22 × 2,475.72
  4. Step 4: Simplify right side
    3,201.72x = 11,896,379.26
  5. Step 5: Solve for x
    x = 11,896,379.26/3,201.72
  6. Step 6: Final answer
    x = 3,715.62

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1.5x scale

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.