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Finding the Fourth Proportional to 3,978.24, 5,964.48 and 2,436

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Solution

The fourth proportional to 3,978.24, 5,964.48 and 2,436 is: 3,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.24 : 5,964.48 = 2,436 : x
  2. Step 2: Convert to fraction form
    3,978.24/5,964.48 = 2,436/x
  3. Step 3: Cross multiply
    3,978.24x = 5,964.48 × 2,436
  4. Step 4: Simplify right side
    3,978.24x = 14,529,473.28
  5. Step 5: Solve for x
    x = 14,529,473.28/3,978.24
  6. Step 6: Final answer
    x = 3,652.24

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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.