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Finding the Fourth Proportional to 3,956.48, 5,932.74 and 1,323.07

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Solution

The fourth proportional to 3,956.48, 5,932.74 and 1,323.07 is: 1,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.48 : 5,932.74 = 1,323.07 : x
  2. Step 2: Convert to fraction form
    3,956.48/5,932.74 = 1,323.07/x
  3. Step 3: Cross multiply
    3,956.48x = 5,932.74 × 1,323.07
  4. Step 4: Simplify right side
    3,956.48x = 7,849,420.44
  5. Step 5: Solve for x
    x = 7,849,420.44/3,956.48
  6. Step 6: Final answer
    x = 1,983.94

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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.