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Finding the Fourth Proportional to 3,788.46, 5,228.43 and 2,296.80

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Solution

The fourth proportional to 3,788.46, 5,228.43 and 2,296.80 is: 3,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.46 : 5,228.43 = 2,296.80 : x
  2. Step 2: Convert to fraction form
    3,788.46/5,228.43 = 2,296.80/x
  3. Step 3: Cross multiply
    3,788.46x = 5,228.43 × 2,296.80
  4. Step 4: Simplify right side
    3,788.46x = 12,008,658.02
  5. Step 5: Solve for x
    x = 12,008,658.02/3,788.46
  6. Step 6: Final answer
    x = 3,169.80

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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.