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Finding the Fourth Proportional to 3,819.60, 5,729.40 and 1,046.20

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Solution

The fourth proportional to 3,819.60, 5,729.40 and 1,046.20 is: 1,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.60 : 5,729.40 = 1,046.20 : x
  2. Step 2: Convert to fraction form
    3,819.60/5,729.40 = 1,046.20/x
  3. Step 3: Cross multiply
    3,819.60x = 5,729.40 × 1,046.20
  4. Step 4: Simplify right side
    3,819.60x = 5,994,098.28
  5. Step 5: Solve for x
    x = 5,994,098.28/3,819.60
  6. Step 6: Final answer
    x = 1,569.30

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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.