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Finding the Fourth Proportional to 4,853.84, 6,698.46 and 2,729.74

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Solution

The fourth proportional to 4,853.84, 6,698.46 and 2,729.74 is: 3,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.84 : 6,698.46 = 2,729.74 : x
  2. Step 2: Convert to fraction form
    4,853.84/6,698.46 = 2,729.74/x
  3. Step 3: Cross multiply
    4,853.84x = 6,698.46 × 2,729.74
  4. Step 4: Simplify right side
    4,853.84x = 18,285,054.20
  5. Step 5: Solve for x
    x = 18,285,054.20/4,853.84
  6. Step 6: Final answer
    x = 3,767.13

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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.