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Finding the Fourth Proportional to 3,861.69, 5,329.14 and 2,093.29

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Solution

The fourth proportional to 3,861.69, 5,329.14 and 2,093.29 is: 2,888.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.69 : 5,329.14 = 2,093.29 : x
  2. Step 2: Convert to fraction form
    3,861.69/5,329.14 = 2,093.29/x
  3. Step 3: Cross multiply
    3,861.69x = 5,329.14 × 2,093.29
  4. Step 4: Simplify right side
    3,861.69x = 11,155,435.47
  5. Step 5: Solve for x
    x = 11,155,435.47/3,861.69
  6. Step 6: Final answer
    x = 2,888.74

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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.