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Finding the Fourth Proportional to 3,215.22, 4,799.78 and 3,073.38

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Solution

The fourth proportional to 3,215.22, 4,799.78 and 3,073.38 is: 4,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.22 : 4,799.78 = 3,073.38 : x
  2. Step 2: Convert to fraction form
    3,215.22/4,799.78 = 3,073.38/x
  3. Step 3: Cross multiply
    3,215.22x = 4,799.78 × 3,073.38
  4. Step 4: Simplify right side
    3,215.22x = 14,751,532.49
  5. Step 5: Solve for x
    x = 14,751,532.49/3,215.22
  6. Step 6: Final answer
    x = 4,588.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.