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Finding the Fourth Proportional to 3,882.40, 5,816.40 and 3,623.20

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Solution

The fourth proportional to 3,882.40, 5,816.40 and 3,623.20 is: 5,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.40 : 5,816.40 = 3,623.20 : x
  2. Step 2: Convert to fraction form
    3,882.40/5,816.40 = 3,623.20/x
  3. Step 3: Cross multiply
    3,882.40x = 5,816.40 × 3,623.20
  4. Step 4: Simplify right side
    3,882.40x = 21,073,980.48
  5. Step 5: Solve for x
    x = 21,073,980.48/3,882.40
  6. Step 6: Final answer
    x = 5,428.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.