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Finding the Fourth Proportional to 4,347, 5,997 and 2,853

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Solution

The fourth proportional to 4,347, 5,997 and 2,853 is: 3,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347 : 5,997 = 2,853 : x
  2. Step 2: Convert to fraction form
    4,347/5,997 = 2,853/x
  3. Step 3: Cross multiply
    4,347x = 5,997 × 2,853
  4. Step 4: Simplify right side
    4,347x = 17,109,441
  5. Step 5: Solve for x
    x = 17,109,441/4,347
  6. Step 6: Final answer
    x = 3,935.92

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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.