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Finding the Fourth Proportional to 3,752.54, 5,178.82 and 2,180.53

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Solution

The fourth proportional to 3,752.54, 5,178.82 and 2,180.53 is: 3,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.54 : 5,178.82 = 2,180.53 : x
  2. Step 2: Convert to fraction form
    3,752.54/5,178.82 = 2,180.53/x
  3. Step 3: Cross multiply
    3,752.54x = 5,178.82 × 2,180.53
  4. Step 4: Simplify right side
    3,752.54x = 11,292,577.49
  5. Step 5: Solve for x
    x = 11,292,577.49/3,752.54
  6. Step 6: Final answer
    x = 3,009.32

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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.