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Finding the Fourth Proportional to 3,298.92, 4,945.12 and 1,568.76

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Solution

The fourth proportional to 3,298.92, 4,945.12 and 1,568.76 is: 2,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.92 : 4,945.12 = 1,568.76 : x
  2. Step 2: Convert to fraction form
    3,298.92/4,945.12 = 1,568.76/x
  3. Step 3: Cross multiply
    3,298.92x = 4,945.12 × 1,568.76
  4. Step 4: Simplify right side
    3,298.92x = 7,757,706.45
  5. Step 5: Solve for x
    x = 7,757,706.45/3,298.92
  6. Step 6: Final answer
    x = 2,351.59

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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.