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Finding the Fourth Proportional to 5,853, 8,077.14 and 3,369

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Solution

The fourth proportional to 5,853, 8,077.14 and 3,369 is: 4,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853 : 8,077.14 = 3,369 : x
  2. Step 2: Convert to fraction form
    5,853/8,077.14 = 3,369/x
  3. Step 3: Cross multiply
    5,853x = 8,077.14 × 3,369
  4. Step 4: Simplify right side
    5,853x = 27,211,884.66
  5. Step 5: Solve for x
    x = 27,211,884.66/5,853
  6. Step 6: Final answer
    x = 4,649.22

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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.