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Finding the Fourth Proportional to 4,853.63, 6,698.00 and 2,757.75

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Solution

The fourth proportional to 4,853.63, 6,698.00 and 2,757.75 is: 3,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.63 : 6,698.00 = 2,757.75 : x
  2. Step 2: Convert to fraction form
    4,853.63/6,698.00 = 2,757.75/x
  3. Step 3: Cross multiply
    4,853.63x = 6,698.00 × 2,757.75
  4. Step 4: Simplify right side
    4,853.63x = 18,471,416.39
  5. Step 5: Solve for x
    x = 18,471,416.39/4,853.63
  6. Step 6: Final answer
    x = 3,805.70

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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.