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Finding the Fourth Proportional to 4,843.94, 7,266.27 and 1,381.46

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Solution

The fourth proportional to 4,843.94, 7,266.27 and 1,381.46 is: 2,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.94 : 7,266.27 = 1,381.46 : x
  2. Step 2: Convert to fraction form
    4,843.94/7,266.27 = 1,381.46/x
  3. Step 3: Cross multiply
    4,843.94x = 7,266.27 × 1,381.46
  4. Step 4: Simplify right side
    4,843.94x = 10,038,061.35
  5. Step 5: Solve for x
    x = 10,038,061.35/4,843.94
  6. Step 6: Final answer
    x = 2,072.29

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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.