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Finding the Fourth Proportional to 3,788.94, 5,229 and 2,296.92

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Solution

The fourth proportional to 3,788.94, 5,229 and 2,296.92 is: 3,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.94 : 5,229 = 2,296.92 : x
  2. Step 2: Convert to fraction form
    3,788.94/5,229 = 2,296.92/x
  3. Step 3: Cross multiply
    3,788.94x = 5,229 × 2,296.92
  4. Step 4: Simplify right side
    3,788.94x = 12,010,594.68
  5. Step 5: Solve for x
    x = 12,010,594.68/3,788.94
  6. Step 6: Final answer
    x = 3,169.91

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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.