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Finding the Fourth Proportional to 3,877.73, 5,816.53 and 956.03

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Solution

The fourth proportional to 3,877.73, 5,816.53 and 956.03 is: 1,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.73 : 5,816.53 = 956.03 : x
  2. Step 2: Convert to fraction form
    3,877.73/5,816.53 = 956.03/x
  3. Step 3: Cross multiply
    3,877.73x = 5,816.53 × 956.03
  4. Step 4: Simplify right side
    3,877.73x = 5,560,772.40
  5. Step 5: Solve for x
    x = 5,560,772.40/3,877.73
  6. Step 6: Final answer
    x = 1,434.03

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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.