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Finding the Fourth Proportional to 3,819.78, 5,730.48 and 1,187.22

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Solution

The fourth proportional to 3,819.78, 5,730.48 and 1,187.22 is: 1,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.78 : 5,730.48 = 1,187.22 : x
  2. Step 2: Convert to fraction form
    3,819.78/5,730.48 = 1,187.22/x
  3. Step 3: Cross multiply
    3,819.78x = 5,730.48 × 1,187.22
  4. Step 4: Simplify right side
    3,819.78x = 6,803,340.47
  5. Step 5: Solve for x
    x = 6,803,340.47/3,819.78
  6. Step 6: Final answer
    x = 1,781.08

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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.