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Finding the Fourth Proportional to 3,954.54, 5,931.99 and 1,322.25

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Solution

The fourth proportional to 3,954.54, 5,931.99 and 1,322.25 is: 1,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.54 : 5,931.99 = 1,322.25 : x
  2. Step 2: Convert to fraction form
    3,954.54/5,931.99 = 1,322.25/x
  3. Step 3: Cross multiply
    3,954.54x = 5,931.99 × 1,322.25
  4. Step 4: Simplify right side
    3,954.54x = 7,843,573.78
  5. Step 5: Solve for x
    x = 7,843,573.78/3,954.54
  6. Step 6: Final answer
    x = 1,983.44

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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.