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Finding the Fourth Proportional to 6,086.60, 8,399.49 and 3,434

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Solution

The fourth proportional to 6,086.60, 8,399.49 and 3,434 is: 4,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.60 : 8,399.49 = 3,434 : x
  2. Step 2: Convert to fraction form
    6,086.60/8,399.49 = 3,434/x
  3. Step 3: Cross multiply
    6,086.60x = 8,399.49 × 3,434
  4. Step 4: Simplify right side
    6,086.60x = 28,843,848.66
  5. Step 5: Solve for x
    x = 28,843,848.66/6,086.60
  6. Step 6: Final answer
    x = 4,738.91

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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.