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Finding the Fourth Proportional to 3,806.82, 5,248.65 and 2,911.68

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Solution

The fourth proportional to 3,806.82, 5,248.65 and 2,911.68 is: 4,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.82 : 5,248.65 = 2,911.68 : x
  2. Step 2: Convert to fraction form
    3,806.82/5,248.65 = 2,911.68/x
  3. Step 3: Cross multiply
    3,806.82x = 5,248.65 × 2,911.68
  4. Step 4: Simplify right side
    3,806.82x = 15,282,389.23
  5. Step 5: Solve for x
    x = 15,282,389.23/3,806.82
  6. Step 6: Final answer
    x = 4,014.48

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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.