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Finding the Fourth Proportional to 3,175.86, 4,380.75 and 2,099.13

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Solution

The fourth proportional to 3,175.86, 4,380.75 and 2,099.13 is: 2,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.86 : 4,380.75 = 2,099.13 : x
  2. Step 2: Convert to fraction form
    3,175.86/4,380.75 = 2,099.13/x
  3. Step 3: Cross multiply
    3,175.86x = 4,380.75 × 2,099.13
  4. Step 4: Simplify right side
    3,175.86x = 9,195,763.75
  5. Step 5: Solve for x
    x = 9,195,763.75/3,175.86
  6. Step 6: Final answer
    x = 2,895.52

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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.