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Finding the Fourth Proportional to 6,274, 8,658.02 and 3,441.44

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Solution

The fourth proportional to 6,274, 8,658.02 and 3,441.44 is: 4,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274 : 8,658.02 = 3,441.44 : x
  2. Step 2: Convert to fraction form
    6,274/8,658.02 = 3,441.44/x
  3. Step 3: Cross multiply
    6,274x = 8,658.02 × 3,441.44
  4. Step 4: Simplify right side
    6,274x = 29,796,056.35
  5. Step 5: Solve for x
    x = 29,796,056.35/6,274
  6. Step 6: Final answer
    x = 4,749.13

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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.