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Finding the Fourth Proportional to 3,974.08, 5,468.16 and 3,872.32

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Solution

The fourth proportional to 3,974.08, 5,468.16 and 3,872.32 is: 5,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.08 : 5,468.16 = 3,872.32 : x
  2. Step 2: Convert to fraction form
    3,974.08/5,468.16 = 3,872.32/x
  3. Step 3: Cross multiply
    3,974.08x = 5,468.16 × 3,872.32
  4. Step 4: Simplify right side
    3,974.08x = 21,174,465.33
  5. Step 5: Solve for x
    x = 21,174,465.33/3,974.08
  6. Step 6: Final answer
    x = 5,328.14

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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.