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Finding the Fourth Proportional to 3,498.75, 4,832.28 and 2,377.80

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Solution

The fourth proportional to 3,498.75, 4,832.28 and 2,377.80 is: 3,284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.75 : 4,832.28 = 2,377.80 : x
  2. Step 2: Convert to fraction form
    3,498.75/4,832.28 = 2,377.80/x
  3. Step 3: Cross multiply
    3,498.75x = 4,832.28 × 2,377.80
  4. Step 4: Simplify right side
    3,498.75x = 11,490,195.38
  5. Step 5: Solve for x
    x = 11,490,195.38/3,498.75
  6. Step 6: Final answer
    x = 3,284.09

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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.