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Finding the Fourth Proportional to 3,752.49, 5,178.29 and 2,180.46

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Solution

The fourth proportional to 3,752.49, 5,178.29 and 2,180.46 is: 3,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.49 : 5,178.29 = 2,180.46 : x
  2. Step 2: Convert to fraction form
    3,752.49/5,178.29 = 2,180.46/x
  3. Step 3: Cross multiply
    3,752.49x = 5,178.29 × 2,180.46
  4. Step 4: Simplify right side
    3,752.49x = 11,291,043.31
  5. Step 5: Solve for x
    x = 11,291,043.31/3,752.49
  6. Step 6: Final answer
    x = 3,008.95

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