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Finding the Fourth Proportional to 4,175.92, 5,763.42 and 2,408.08

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Solution

The fourth proportional to 4,175.92, 5,763.42 and 2,408.08 is: 3,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.92 : 5,763.42 = 2,408.08 : x
  2. Step 2: Convert to fraction form
    4,175.92/5,763.42 = 2,408.08/x
  3. Step 3: Cross multiply
    4,175.92x = 5,763.42 × 2,408.08
  4. Step 4: Simplify right side
    4,175.92x = 13,878,776.43
  5. Step 5: Solve for x
    x = 13,878,776.43/4,175.92
  6. Step 6: Final answer
    x = 3,323.53

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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.