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Finding the Fourth Proportional to 6,122.40, 8,449.04 and 3,469.76

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Solution

The fourth proportional to 6,122.40, 8,449.04 and 3,469.76 is: 4,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.40 : 8,449.04 = 3,469.76 : x
  2. Step 2: Convert to fraction form
    6,122.40/8,449.04 = 3,469.76/x
  3. Step 3: Cross multiply
    6,122.40x = 8,449.04 × 3,469.76
  4. Step 4: Simplify right side
    6,122.40x = 29,316,141.03
  5. Step 5: Solve for x
    x = 29,316,141.03/6,122.40
  6. Step 6: Final answer
    x = 4,788.34

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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.