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Finding the Fourth Proportional to 4,178.44, 5,754 and 3,736.20

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Solution

The fourth proportional to 4,178.44, 5,754 and 3,736.20 is: 5,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.44 : 5,754 = 3,736.20 : x
  2. Step 2: Convert to fraction form
    4,178.44/5,754 = 3,736.20/x
  3. Step 3: Cross multiply
    4,178.44x = 5,754 × 3,736.20
  4. Step 4: Simplify right side
    4,178.44x = 21,498,094.80
  5. Step 5: Solve for x
    x = 21,498,094.80/4,178.44
  6. Step 6: Final answer
    x = 5,145.01

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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.