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Finding the Fourth Proportional to 5,974.64, 8,962.22 and 1,815.23

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Solution

The fourth proportional to 5,974.64, 8,962.22 and 1,815.23 is: 2,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.64 : 8,962.22 = 1,815.23 : x
  2. Step 2: Convert to fraction form
    5,974.64/8,962.22 = 1,815.23/x
  3. Step 3: Cross multiply
    5,974.64x = 8,962.22 × 1,815.23
  4. Step 4: Simplify right side
    5,974.64x = 16,268,436.72
  5. Step 5: Solve for x
    x = 16,268,436.72/5,974.64
  6. Step 6: Final answer
    x = 2,722.92

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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.