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Finding the Fourth Proportional to 4,476.84, 6,713.70 and 1,843.59

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Solution

The fourth proportional to 4,476.84, 6,713.70 and 1,843.59 is: 2,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.84 : 6,713.70 = 1,843.59 : x
  2. Step 2: Convert to fraction form
    4,476.84/6,713.70 = 1,843.59/x
  3. Step 3: Cross multiply
    4,476.84x = 6,713.70 × 1,843.59
  4. Step 4: Simplify right side
    4,476.84x = 12,377,310.18
  5. Step 5: Solve for x
    x = 12,377,310.18/4,476.84
  6. Step 6: Final answer
    x = 2,764.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.