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Finding the Fourth Proportional to 5,436.32, 8,155.24 and 1,974.32

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Solution

The fourth proportional to 5,436.32, 8,155.24 and 1,974.32 is: 2,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.32 : 8,155.24 = 1,974.32 : x
  2. Step 2: Convert to fraction form
    5,436.32/8,155.24 = 1,974.32/x
  3. Step 3: Cross multiply
    5,436.32x = 8,155.24 × 1,974.32
  4. Step 4: Simplify right side
    5,436.32x = 16,101,053.44
  5. Step 5: Solve for x
    x = 16,101,053.44/5,436.32
  6. Step 6: Final answer
    x = 2,961.76

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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.