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Finding the Fourth Proportional to 3,654, 5,479.37 and 2,267.28

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Solution

The fourth proportional to 3,654, 5,479.37 and 2,267.28 is: 3,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654 : 5,479.37 = 2,267.28 : x
  2. Step 2: Convert to fraction form
    3,654/5,479.37 = 2,267.28/x
  3. Step 3: Cross multiply
    3,654x = 5,479.37 × 2,267.28
  4. Step 4: Simplify right side
    3,654x = 12,423,266.01
  5. Step 5: Solve for x
    x = 12,423,266.01/3,654
  6. Step 6: Final answer
    x = 3,399.91

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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.