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Finding the Fourth Proportional to 6,086.61, 8,399.70 and 3,434.13

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Solution

The fourth proportional to 6,086.61, 8,399.70 and 3,434.13 is: 4,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.61 : 8,399.70 = 3,434.13 : x
  2. Step 2: Convert to fraction form
    6,086.61/8,399.70 = 3,434.13/x
  3. Step 3: Cross multiply
    6,086.61x = 8,399.70 × 3,434.13
  4. Step 4: Simplify right side
    6,086.61x = 28,845,661.76
  5. Step 5: Solve for x
    x = 28,845,661.76/6,086.61
  6. Step 6: Final answer
    x = 4,739.20

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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.