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Finding the Fourth Proportional to 6,086.98, 8,400.04 and 3,434.95

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Solution

The fourth proportional to 6,086.98, 8,400.04 and 3,434.95 is: 4,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.98 : 8,400.04 = 3,434.95 : x
  2. Step 2: Convert to fraction form
    6,086.98/8,400.04 = 3,434.95/x
  3. Step 3: Cross multiply
    6,086.98x = 8,400.04 × 3,434.95
  4. Step 4: Simplify right side
    6,086.98x = 28,853,717.40
  5. Step 5: Solve for x
    x = 28,853,717.40/6,086.98
  6. Step 6: Final answer
    x = 4,740.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.