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Finding the Fourth Proportional to 3,819.04, 5,730.64 and 1,767.04

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Solution

The fourth proportional to 3,819.04, 5,730.64 and 1,767.04 is: 2,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.04 : 5,730.64 = 1,767.04 : x
  2. Step 2: Convert to fraction form
    3,819.04/5,730.64 = 1,767.04/x
  3. Step 3: Cross multiply
    3,819.04x = 5,730.64 × 1,767.04
  4. Step 4: Simplify right side
    3,819.04x = 10,126,270.11
  5. Step 5: Solve for x
    x = 10,126,270.11/3,819.04
  6. Step 6: Final answer
    x = 2,651.52

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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.