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Finding the Fourth Proportional to 4,197.48, 6,296.24 and 1,857

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Solution

The fourth proportional to 4,197.48, 6,296.24 and 1,857 is: 2,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.48 : 6,296.24 = 1,857 : x
  2. Step 2: Convert to fraction form
    4,197.48/6,296.24 = 1,857/x
  3. Step 3: Cross multiply
    4,197.48x = 6,296.24 × 1,857
  4. Step 4: Simplify right side
    4,197.48x = 11,692,117.68
  5. Step 5: Solve for x
    x = 11,692,117.68/4,197.48
  6. Step 6: Final answer
    x = 2,785.51

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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.