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Finding the Fourth Proportional to 5,902, 8,144.68 and 3,249.35

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Solution

The fourth proportional to 5,902, 8,144.68 and 3,249.35 is: 4,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902 : 8,144.68 = 3,249.35 : x
  2. Step 2: Convert to fraction form
    5,902/8,144.68 = 3,249.35/x
  3. Step 3: Cross multiply
    5,902x = 8,144.68 × 3,249.35
  4. Step 4: Simplify right side
    5,902x = 26,464,915.96
  5. Step 5: Solve for x
    x = 26,464,915.96/5,902
  6. Step 6: Final answer
    x = 4,484.06

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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.