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Finding the Fourth Proportional to 4,175.74, 5,759.99 and 2,759.44

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Solution

The fourth proportional to 4,175.74, 5,759.99 and 2,759.44 is: 3,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.74 : 5,759.99 = 2,759.44 : x
  2. Step 2: Convert to fraction form
    4,175.74/5,759.99 = 2,759.44/x
  3. Step 3: Cross multiply
    4,175.74x = 5,759.99 × 2,759.44
  4. Step 4: Simplify right side
    4,175.74x = 15,894,346.81
  5. Step 5: Solve for x
    x = 15,894,346.81/4,175.74
  6. Step 6: Final answer
    x = 3,806.35

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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.