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Finding the Fourth Proportional to 3,488.56, 4,813.20 and 2,162.32

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Solution

The fourth proportional to 3,488.56, 4,813.20 and 2,162.32 is: 2,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.56 : 4,813.20 = 2,162.32 : x
  2. Step 2: Convert to fraction form
    3,488.56/4,813.20 = 2,162.32/x
  3. Step 3: Cross multiply
    3,488.56x = 4,813.20 × 2,162.32
  4. Step 4: Simplify right side
    3,488.56x = 10,407,678.62
  5. Step 5: Solve for x
    x = 10,407,678.62/3,488.56
  6. Step 6: Final answer
    x = 2,983.37

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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.