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Finding the Fourth Proportional to 3,819.89, 5,730.19 and 1,187.42

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Solution

The fourth proportional to 3,819.89, 5,730.19 and 1,187.42 is: 1,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.89 : 5,730.19 = 1,187.42 : x
  2. Step 2: Convert to fraction form
    3,819.89/5,730.19 = 1,187.42/x
  3. Step 3: Cross multiply
    3,819.89x = 5,730.19 × 1,187.42
  4. Step 4: Simplify right side
    3,819.89x = 6,804,142.21
  5. Step 5: Solve for x
    x = 6,804,142.21/3,819.89
  6. Step 6: Final answer
    x = 1,781.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.