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Finding the Fourth Proportional to 3,286.12, 4,929.90 and 1,095.16

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Solution

The fourth proportional to 3,286.12, 4,929.90 and 1,095.16 is: 1,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.12 : 4,929.90 = 1,095.16 : x
  2. Step 2: Convert to fraction form
    3,286.12/4,929.90 = 1,095.16/x
  3. Step 3: Cross multiply
    3,286.12x = 4,929.90 × 1,095.16
  4. Step 4: Simplify right side
    3,286.12x = 5,399,029.28
  5. Step 5: Solve for x
    x = 5,399,029.28/3,286.12
  6. Step 6: Final answer
    x = 1,642.98

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