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Finding the Fourth Proportional to 3,976.32, 5,489.28 and 3,048.96

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Solution

The fourth proportional to 3,976.32, 5,489.28 and 3,048.96 is: 4,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.32 : 5,489.28 = 3,048.96 : x
  2. Step 2: Convert to fraction form
    3,976.32/5,489.28 = 3,048.96/x
  3. Step 3: Cross multiply
    3,976.32x = 5,489.28 × 3,048.96
  4. Step 4: Simplify right side
    3,976.32x = 16,736,595.15
  5. Step 5: Solve for x
    x = 16,736,595.15/3,976.32
  6. Step 6: Final answer
    x = 4,209.07

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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.