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Finding the Fourth Proportional to 4,197.70, 6,296.50 and 1,275.90

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Solution

The fourth proportional to 4,197.70, 6,296.50 and 1,275.90 is: 1,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.70 : 6,296.50 = 1,275.90 : x
  2. Step 2: Convert to fraction form
    4,197.70/6,296.50 = 1,275.90/x
  3. Step 3: Cross multiply
    4,197.70x = 6,296.50 × 1,275.90
  4. Step 4: Simplify right side
    4,197.70x = 8,033,704.35
  5. Step 5: Solve for x
    x = 8,033,704.35/4,197.70
  6. Step 6: Final answer
    x = 1,913.83

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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.