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Finding the Fourth Proportional to 3,964.24, 5,943.75 and 1,496.08

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Solution

The fourth proportional to 3,964.24, 5,943.75 and 1,496.08 is: 2,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.24 : 5,943.75 = 1,496.08 : x
  2. Step 2: Convert to fraction form
    3,964.24/5,943.75 = 1,496.08/x
  3. Step 3: Cross multiply
    3,964.24x = 5,943.75 × 1,496.08
  4. Step 4: Simplify right side
    3,964.24x = 8,892,325.50
  5. Step 5: Solve for x
    x = 8,892,325.50/3,964.24
  6. Step 6: Final answer
    x = 2,243.14

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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.