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Finding the Fourth Proportional to 4,197.69, 6,295.32 and 1,275.21

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Solution

The fourth proportional to 4,197.69, 6,295.32 and 1,275.21 is: 1,912.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.69 : 6,295.32 = 1,275.21 : x
  2. Step 2: Convert to fraction form
    4,197.69/6,295.32 = 1,275.21/x
  3. Step 3: Cross multiply
    4,197.69x = 6,295.32 × 1,275.21
  4. Step 4: Simplify right side
    4,197.69x = 8,027,855.02
  5. Step 5: Solve for x
    x = 8,027,855.02/4,197.69
  6. Step 6: Final answer
    x = 1,912.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.