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Finding the Fourth Proportional to 3,964.68, 5,952.48 and 2,018.24

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Solution

The fourth proportional to 3,964.68, 5,952.48 and 2,018.24 is: 3,030.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.68 : 5,952.48 = 2,018.24 : x
  2. Step 2: Convert to fraction form
    3,964.68/5,952.48 = 2,018.24/x
  3. Step 3: Cross multiply
    3,964.68x = 5,952.48 × 2,018.24
  4. Step 4: Simplify right side
    3,964.68x = 12,013,533.24
  5. Step 5: Solve for x
    x = 12,013,533.24/3,964.68
  6. Step 6: Final answer
    x = 3,030.14

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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.