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Finding the Fourth Proportional to 3,967.98, 5,952.24 and 1,502.34

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Solution

The fourth proportional to 3,967.98, 5,952.24 and 1,502.34 is: 2,253.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.98 : 5,952.24 = 1,502.34 : x
  2. Step 2: Convert to fraction form
    3,967.98/5,952.24 = 1,502.34/x
  3. Step 3: Cross multiply
    3,967.98x = 5,952.24 × 1,502.34
  4. Step 4: Simplify right side
    3,967.98x = 8,942,288.24
  5. Step 5: Solve for x
    x = 8,942,288.24/3,967.98
  6. Step 6: Final answer
    x = 2,253.61

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