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Finding the Fourth Proportional to 3,967.07, 5,474.64 and 2,288.54

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Solution

The fourth proportional to 3,967.07, 5,474.64 and 2,288.54 is: 3,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.07 : 5,474.64 = 2,288.54 : x
  2. Step 2: Convert to fraction form
    3,967.07/5,474.64 = 2,288.54/x
  3. Step 3: Cross multiply
    3,967.07x = 5,474.64 × 2,288.54
  4. Step 4: Simplify right side
    3,967.07x = 12,528,905.25
  5. Step 5: Solve for x
    x = 12,528,905.25/3,967.07
  6. Step 6: Final answer
    x = 3,158.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.