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Finding the Fourth Proportional to 3,843.28, 5,298.38 and 3,248.24

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Solution

The fourth proportional to 3,843.28, 5,298.38 and 3,248.24 is: 4,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.28 : 5,298.38 = 3,248.24 : x
  2. Step 2: Convert to fraction form
    3,843.28/5,298.38 = 3,248.24/x
  3. Step 3: Cross multiply
    3,843.28x = 5,298.38 × 3,248.24
  4. Step 4: Simplify right side
    3,843.28x = 17,210,409.85
  5. Step 5: Solve for x
    x = 17,210,409.85/3,843.28
  6. Step 6: Final answer
    x = 4,478.05

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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.