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Finding the Fourth Proportional to 3,819.76, 5,730 and 1,187.29

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Solution

The fourth proportional to 3,819.76, 5,730 and 1,187.29 is: 1,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.76 : 5,730 = 1,187.29 : x
  2. Step 2: Convert to fraction form
    3,819.76/5,730 = 1,187.29/x
  3. Step 3: Cross multiply
    3,819.76x = 5,730 × 1,187.29
  4. Step 4: Simplify right side
    3,819.76x = 6,803,171.70
  5. Step 5: Solve for x
    x = 6,803,171.70/3,819.76
  6. Step 6: Final answer
    x = 1,781.05

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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.