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Finding the Fourth Proportional to 3,488.32, 4,812.80 and 2,229.76

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Solution

The fourth proportional to 3,488.32, 4,812.80 and 2,229.76 is: 3,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.32 : 4,812.80 = 2,229.76 : x
  2. Step 2: Convert to fraction form
    3,488.32/4,812.80 = 2,229.76/x
  3. Step 3: Cross multiply
    3,488.32x = 4,812.80 × 2,229.76
  4. Step 4: Simplify right side
    3,488.32x = 10,731,388.93
  5. Step 5: Solve for x
    x = 10,731,388.93/3,488.32
  6. Step 6: Final answer
    x = 3,076.38

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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.