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Finding the Fourth Proportional to 3,286.16, 4,929.82 and 1,095.02

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Solution

The fourth proportional to 3,286.16, 4,929.82 and 1,095.02 is: 1,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.16 : 4,929.82 = 1,095.02 : x
  2. Step 2: Convert to fraction form
    3,286.16/4,929.82 = 1,095.02/x
  3. Step 3: Cross multiply
    3,286.16x = 4,929.82 × 1,095.02
  4. Step 4: Simplify right side
    3,286.16x = 5,398,251.50
  5. Step 5: Solve for x
    x = 5,398,251.50/3,286.16
  6. Step 6: Final answer
    x = 1,642.72

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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.