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Finding the Fourth Proportional to 4,843.70, 7,261.09 and 1,884.11

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Solution

The fourth proportional to 4,843.70, 7,261.09 and 1,884.11 is: 2,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.70 : 7,261.09 = 1,884.11 : x
  2. Step 2: Convert to fraction form
    4,843.70/7,261.09 = 1,884.11/x
  3. Step 3: Cross multiply
    4,843.70x = 7,261.09 × 1,884.11
  4. Step 4: Simplify right side
    4,843.70x = 13,680,702.71
  5. Step 5: Solve for x
    x = 13,680,702.71/4,843.70
  6. Step 6: Final answer
    x = 2,824.43

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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.