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Finding the Fourth Proportional to 3,375.07, 4,658.16 and 2,049.65

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Solution

The fourth proportional to 3,375.07, 4,658.16 and 2,049.65 is: 2,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.07 : 4,658.16 = 2,049.65 : x
  2. Step 2: Convert to fraction form
    3,375.07/4,658.16 = 2,049.65/x
  3. Step 3: Cross multiply
    3,375.07x = 4,658.16 × 2,049.65
  4. Step 4: Simplify right side
    3,375.07x = 9,547,614.18
  5. Step 5: Solve for x
    x = 9,547,614.18/3,375.07
  6. Step 6: Final answer
    x = 2,828.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.