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Finding the Fourth Proportional to 6,086.30, 8,398.95 and 3,433.82

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Solution

The fourth proportional to 6,086.30, 8,398.95 and 3,433.82 is: 4,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.30 : 8,398.95 = 3,433.82 : x
  2. Step 2: Convert to fraction form
    6,086.30/8,398.95 = 3,433.82/x
  3. Step 3: Cross multiply
    6,086.30x = 8,398.95 × 3,433.82
  4. Step 4: Simplify right side
    6,086.30x = 28,840,482.49
  5. Step 5: Solve for x
    x = 28,840,482.49/6,086.30
  6. Step 6: Final answer
    x = 4,738.59

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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.