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Finding the Fourth Proportional to 3,892.16, 5,328.20 and 3,864.36

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Solution

The fourth proportional to 3,892.16, 5,328.20 and 3,864.36 is: 5,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.16 : 5,328.20 = 3,864.36 : x
  2. Step 2: Convert to fraction form
    3,892.16/5,328.20 = 3,864.36/x
  3. Step 3: Cross multiply
    3,892.16x = 5,328.20 × 3,864.36
  4. Step 4: Simplify right side
    3,892.16x = 20,590,082.95
  5. Step 5: Solve for x
    x = 20,590,082.95/3,892.16
  6. Step 6: Final answer
    x = 5,290.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.