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Finding the Fourth Proportional to 3,312, 4,957.92 and 2,207.52

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Solution

The fourth proportional to 3,312, 4,957.92 and 2,207.52 is: 3,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312 : 4,957.92 = 2,207.52 : x
  2. Step 2: Convert to fraction form
    3,312/4,957.92 = 2,207.52/x
  3. Step 3: Cross multiply
    3,312x = 4,957.92 × 2,207.52
  4. Step 4: Simplify right side
    3,312x = 10,944,707.56
  5. Step 5: Solve for x
    x = 10,944,707.56/3,312
  6. Step 6: Final answer
    x = 3,304.56

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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.