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Finding the Fourth Proportional to 3,994.44, 5,513 and 2,949.52

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Solution

The fourth proportional to 3,994.44, 5,513 and 2,949.52 is: 4,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.44 : 5,513 = 2,949.52 : x
  2. Step 2: Convert to fraction form
    3,994.44/5,513 = 2,949.52/x
  3. Step 3: Cross multiply
    3,994.44x = 5,513 × 2,949.52
  4. Step 4: Simplify right side
    3,994.44x = 16,260,703.76
  5. Step 5: Solve for x
    x = 16,260,703.76/3,994.44
  6. Step 6: Final answer
    x = 4,070.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.