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Finding the Fourth Proportional to 4,170.12, 5,752.74 and 2,754.36

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Solution

The fourth proportional to 4,170.12, 5,752.74 and 2,754.36 is: 3,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.12 : 5,752.74 = 2,754.36 : x
  2. Step 2: Convert to fraction form
    4,170.12/5,752.74 = 2,754.36/x
  3. Step 3: Cross multiply
    4,170.12x = 5,752.74 × 2,754.36
  4. Step 4: Simplify right side
    4,170.12x = 15,845,116.95
  5. Step 5: Solve for x
    x = 15,845,116.95/4,170.12
  6. Step 6: Final answer
    x = 3,799.68

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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.