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Finding the Fourth Proportional to 3,877.83, 5,816.68 and 956.09

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Solution

The fourth proportional to 3,877.83, 5,816.68 and 956.09 is: 1,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.83 : 5,816.68 = 956.09 : x
  2. Step 2: Convert to fraction form
    3,877.83/5,816.68 = 956.09/x
  3. Step 3: Cross multiply
    3,877.83x = 5,816.68 × 956.09
  4. Step 4: Simplify right side
    3,877.83x = 5,561,281.73
  5. Step 5: Solve for x
    x = 5,561,281.73/3,877.83
  6. Step 6: Final answer
    x = 1,434.12

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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.