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Finding the Fourth Proportional to 3,943.08, 5,442.12 and 3,768.12

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Solution

The fourth proportional to 3,943.08, 5,442.12 and 3,768.12 is: 5,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.08 : 5,442.12 = 3,768.12 : x
  2. Step 2: Convert to fraction form
    3,943.08/5,442.12 = 3,768.12/x
  3. Step 3: Cross multiply
    3,943.08x = 5,442.12 × 3,768.12
  4. Step 4: Simplify right side
    3,943.08x = 20,506,561.21
  5. Step 5: Solve for x
    x = 20,506,561.21/3,943.08
  6. Step 6: Final answer
    x = 5,200.65

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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.