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Finding the Fourth Proportional to 3,628.91, 5,446.70 and 2,244.95

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Solution

The fourth proportional to 3,628.91, 5,446.70 and 2,244.95 is: 3,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.91 : 5,446.70 = 2,244.95 : x
  2. Step 2: Convert to fraction form
    3,628.91/5,446.70 = 2,244.95/x
  3. Step 3: Cross multiply
    3,628.91x = 5,446.70 × 2,244.95
  4. Step 4: Simplify right side
    3,628.91x = 12,227,572.18
  5. Step 5: Solve for x
    x = 12,227,572.18/3,628.91
  6. Step 6: Final answer
    x = 3,369.49

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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.