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Finding the Fourth Proportional to 3,744.84, 5,162.46 and 2,748.36

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Solution

The fourth proportional to 3,744.84, 5,162.46 and 2,748.36 is: 3,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.84 : 5,162.46 = 2,748.36 : x
  2. Step 2: Convert to fraction form
    3,744.84/5,162.46 = 2,748.36/x
  3. Step 3: Cross multiply
    3,744.84x = 5,162.46 × 2,748.36
  4. Step 4: Simplify right side
    3,744.84x = 14,188,298.57
  5. Step 5: Solve for x
    x = 14,188,298.57/3,744.84
  6. Step 6: Final answer
    x = 3,788.76

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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.