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Finding the Fourth Proportional to 4,197.25, 6,297.25 and 1,275.56

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Solution

The fourth proportional to 4,197.25, 6,297.25 and 1,275.56 is: 1,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.25 : 6,297.25 = 1,275.56 : x
  2. Step 2: Convert to fraction form
    4,197.25/6,297.25 = 1,275.56/x
  3. Step 3: Cross multiply
    4,197.25x = 6,297.25 × 1,275.56
  4. Step 4: Simplify right side
    4,197.25x = 8,032,520.21
  5. Step 5: Solve for x
    x = 8,032,520.21/4,197.25
  6. Step 6: Final answer
    x = 1,913.76

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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.