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Finding the Fourth Proportional to 4,843.70, 7,266.75 and 1,380.95

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Solution

The fourth proportional to 4,843.70, 7,266.75 and 1,380.95 is: 2,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.70 : 7,266.75 = 1,380.95 : x
  2. Step 2: Convert to fraction form
    4,843.70/7,266.75 = 1,380.95/x
  3. Step 3: Cross multiply
    4,843.70x = 7,266.75 × 1,380.95
  4. Step 4: Simplify right side
    4,843.70x = 10,035,018.41
  5. Step 5: Solve for x
    x = 10,035,018.41/4,843.70
  6. Step 6: Final answer
    x = 2,071.77

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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.