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Finding the Fourth Proportional to 4,187, 5,778.24 and 2,324

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Solution

The fourth proportional to 4,187, 5,778.24 and 2,324 is: 3,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187 : 5,778.24 = 2,324 : x
  2. Step 2: Convert to fraction form
    4,187/5,778.24 = 2,324/x
  3. Step 3: Cross multiply
    4,187x = 5,778.24 × 2,324
  4. Step 4: Simplify right side
    4,187x = 13,428,629.76
  5. Step 5: Solve for x
    x = 13,428,629.76/4,187
  6. Step 6: Final answer
    x = 3,207.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.