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Finding the Fourth Proportional to 3,753.58, 5,180.58 and 2,182.58

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Solution

The fourth proportional to 3,753.58, 5,180.58 and 2,182.58 is: 3,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.58 : 5,180.58 = 2,182.58 : x
  2. Step 2: Convert to fraction form
    3,753.58/5,180.58 = 2,182.58/x
  3. Step 3: Cross multiply
    3,753.58x = 5,180.58 × 2,182.58
  4. Step 4: Simplify right side
    3,753.58x = 11,307,043.25
  5. Step 5: Solve for x
    x = 11,307,043.25/3,753.58
  6. Step 6: Final answer
    x = 3,012.34

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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.