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Finding the Fourth Proportional to 3,362.84, 5,041.92 and 1,282.96

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Solution

The fourth proportional to 3,362.84, 5,041.92 and 1,282.96 is: 1,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.84 : 5,041.92 = 1,282.96 : x
  2. Step 2: Convert to fraction form
    3,362.84/5,041.92 = 1,282.96/x
  3. Step 3: Cross multiply
    3,362.84x = 5,041.92 × 1,282.96
  4. Step 4: Simplify right side
    3,362.84x = 6,468,581.68
  5. Step 5: Solve for x
    x = 6,468,581.68/3,362.84
  6. Step 6: Final answer
    x = 1,923.55

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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.