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Finding the Fourth Proportional to 4,853.97, 6,699.24 and 3,086.15

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Solution

The fourth proportional to 4,853.97, 6,699.24 and 3,086.15 is: 4,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.97 : 6,699.24 = 3,086.15 : x
  2. Step 2: Convert to fraction form
    4,853.97/6,699.24 = 3,086.15/x
  3. Step 3: Cross multiply
    4,853.97x = 6,699.24 × 3,086.15
  4. Step 4: Simplify right side
    4,853.97x = 20,674,826.03
  5. Step 5: Solve for x
    x = 20,674,826.03/4,853.97
  6. Step 6: Final answer
    x = 4,259.36

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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.