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Finding the Fourth Proportional to 3,861.92, 5,329.58 and 2,137.23

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Solution

The fourth proportional to 3,861.92, 5,329.58 and 2,137.23 is: 2,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.92 : 5,329.58 = 2,137.23 : x
  2. Step 2: Convert to fraction form
    3,861.92/5,329.58 = 2,137.23/x
  3. Step 3: Cross multiply
    3,861.92x = 5,329.58 × 2,137.23
  4. Step 4: Simplify right side
    3,861.92x = 11,390,538.08
  5. Step 5: Solve for x
    x = 11,390,538.08/3,861.92
  6. Step 6: Final answer
    x = 2,949.45

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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.