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Finding the Fourth Proportional to 4,175.40, 5,744.78 and 3,174.84

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Solution

The fourth proportional to 4,175.40, 5,744.78 and 3,174.84 is: 4,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.40 : 5,744.78 = 3,174.84 : x
  2. Step 2: Convert to fraction form
    4,175.40/5,744.78 = 3,174.84/x
  3. Step 3: Cross multiply
    4,175.40x = 5,744.78 × 3,174.84
  4. Step 4: Simplify right side
    4,175.40x = 18,238,757.34
  5. Step 5: Solve for x
    x = 18,238,757.34/4,175.40
  6. Step 6: Final answer
    x = 4,368.15

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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.