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Finding the Fourth Proportional to 3,877.28, 5,815.82 and 955.58

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Solution

The fourth proportional to 3,877.28, 5,815.82 and 955.58 is: 1,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.28 : 5,815.82 = 955.58 : x
  2. Step 2: Convert to fraction form
    3,877.28/5,815.82 = 955.58/x
  3. Step 3: Cross multiply
    3,877.28x = 5,815.82 × 955.58
  4. Step 4: Simplify right side
    3,877.28x = 5,557,481.28
  5. Step 5: Solve for x
    x = 5,557,481.28/3,877.28
  6. Step 6: Final answer
    x = 1,433.35

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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.