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Finding the Fourth Proportional to 5,964.28, 8,941.08 and 2,264

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Solution

The fourth proportional to 5,964.28, 8,941.08 and 2,264 is: 3,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.28 : 8,941.08 = 2,264 : x
  2. Step 2: Convert to fraction form
    5,964.28/8,941.08 = 2,264/x
  3. Step 3: Cross multiply
    5,964.28x = 8,941.08 × 2,264
  4. Step 4: Simplify right side
    5,964.28x = 20,242,605.12
  5. Step 5: Solve for x
    x = 20,242,605.12/5,964.28
  6. Step 6: Final answer
    x = 3,393.97

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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.