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Finding the Fourth Proportional to 3,672.06, 5,064.07 and 2,412.61

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Solution

The fourth proportional to 3,672.06, 5,064.07 and 2,412.61 is: 3,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.06 : 5,064.07 = 2,412.61 : x
  2. Step 2: Convert to fraction form
    3,672.06/5,064.07 = 2,412.61/x
  3. Step 3: Cross multiply
    3,672.06x = 5,064.07 × 2,412.61
  4. Step 4: Simplify right side
    3,672.06x = 12,217,625.92
  5. Step 5: Solve for x
    x = 12,217,625.92/3,672.06
  6. Step 6: Final answer
    x = 3,327.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.