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Finding the Fourth Proportional to 3,453.84, 5,177.52 and 1,722.06

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Solution

The fourth proportional to 3,453.84, 5,177.52 and 1,722.06 is: 2,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.84 : 5,177.52 = 1,722.06 : x
  2. Step 2: Convert to fraction form
    3,453.84/5,177.52 = 1,722.06/x
  3. Step 3: Cross multiply
    3,453.84x = 5,177.52 × 1,722.06
  4. Step 4: Simplify right side
    3,453.84x = 8,916,000.09
  5. Step 5: Solve for x
    x = 8,916,000.09/3,453.84
  6. Step 6: Final answer
    x = 2,581.47

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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.