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Finding the Fourth Proportional to 3,819.77, 5,730.26 and 1,354.04

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Solution

The fourth proportional to 3,819.77, 5,730.26 and 1,354.04 is: 2,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.77 : 5,730.26 = 1,354.04 : x
  2. Step 2: Convert to fraction form
    3,819.77/5,730.26 = 1,354.04/x
  3. Step 3: Cross multiply
    3,819.77x = 5,730.26 × 1,354.04
  4. Step 4: Simplify right side
    3,819.77x = 7,758,965.83
  5. Step 5: Solve for x
    x = 7,758,965.83/3,819.77
  6. Step 6: Final answer
    x = 2,031.27

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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.