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Finding the Fourth Proportional to 3,853, 5,317.86 and 2,197

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Solution

The fourth proportional to 3,853, 5,317.86 and 2,197 is: 3,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853 : 5,317.86 = 2,197 : x
  2. Step 2: Convert to fraction form
    3,853/5,317.86 = 2,197/x
  3. Step 3: Cross multiply
    3,853x = 5,317.86 × 2,197
  4. Step 4: Simplify right side
    3,853x = 11,683,338.42
  5. Step 5: Solve for x
    x = 11,683,338.42/3,853
  6. Step 6: Final answer
    x = 3,032.27

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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.