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Finding the Fourth Proportional to 3,710.83, 5,118.82 and 2,452.09

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Solution

The fourth proportional to 3,710.83, 5,118.82 and 2,452.09 is: 3,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.83 : 5,118.82 = 2,452.09 : x
  2. Step 2: Convert to fraction form
    3,710.83/5,118.82 = 2,452.09/x
  3. Step 3: Cross multiply
    3,710.83x = 5,118.82 × 2,452.09
  4. Step 4: Simplify right side
    3,710.83x = 12,551,807.33
  5. Step 5: Solve for x
    x = 12,551,807.33/3,710.83
  6. Step 6: Final answer
    x = 3,382.48

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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.