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Finding the Fourth Proportional to 3,488.28, 5,234.18 and 1,297.23

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Solution

The fourth proportional to 3,488.28, 5,234.18 and 1,297.23 is: 1,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.28 : 5,234.18 = 1,297.23 : x
  2. Step 2: Convert to fraction form
    3,488.28/5,234.18 = 1,297.23/x
  3. Step 3: Cross multiply
    3,488.28x = 5,234.18 × 1,297.23
  4. Step 4: Simplify right side
    3,488.28x = 6,789,928.84
  5. Step 5: Solve for x
    x = 6,789,928.84/3,488.28
  6. Step 6: Final answer
    x = 1,946.50

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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.