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Finding the Fourth Proportional to 3,432.99, 5,157.71 and 2,202.81

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Solution

The fourth proportional to 3,432.99, 5,157.71 and 2,202.81 is: 3,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.99 : 5,157.71 = 2,202.81 : x
  2. Step 2: Convert to fraction form
    3,432.99/5,157.71 = 2,202.81/x
  3. Step 3: Cross multiply
    3,432.99x = 5,157.71 × 2,202.81
  4. Step 4: Simplify right side
    3,432.99x = 11,361,444.15
  5. Step 5: Solve for x
    x = 11,361,444.15/3,432.99
  6. Step 6: Final answer
    x = 3,309.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.