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Finding the Fourth Proportional to 3,892.34, 5,371.44 and 2,320.40

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Solution

The fourth proportional to 3,892.34, 5,371.44 and 2,320.40 is: 3,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.34 : 5,371.44 = 2,320.40 : x
  2. Step 2: Convert to fraction form
    3,892.34/5,371.44 = 2,320.40/x
  3. Step 3: Cross multiply
    3,892.34x = 5,371.44 × 2,320.40
  4. Step 4: Simplify right side
    3,892.34x = 12,463,889.38
  5. Step 5: Solve for x
    x = 12,463,889.38/3,892.34
  6. Step 6: Final answer
    x = 3,202.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.