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Finding the Fourth Proportional to 3,487.32, 4,809.24 and 2,226.42

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Solution

The fourth proportional to 3,487.32, 4,809.24 and 2,226.42 is: 3,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.32 : 4,809.24 = 2,226.42 : x
  2. Step 2: Convert to fraction form
    3,487.32/4,809.24 = 2,226.42/x
  3. Step 3: Cross multiply
    3,487.32x = 4,809.24 × 2,226.42
  4. Step 4: Simplify right side
    3,487.32x = 10,707,388.12
  5. Step 5: Solve for x
    x = 10,707,388.12/3,487.32
  6. Step 6: Final answer
    x = 3,070.38

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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.