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Finding the Fourth Proportional to 5,863.80, 8,091.72 and 4,464.12

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Solution

The fourth proportional to 5,863.80, 8,091.72 and 4,464.12 is: 6,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.80 : 8,091.72 = 4,464.12 : x
  2. Step 2: Convert to fraction form
    5,863.80/8,091.72 = 4,464.12/x
  3. Step 3: Cross multiply
    5,863.80x = 8,091.72 × 4,464.12
  4. Step 4: Simplify right side
    5,863.80x = 36,122,409.09
  5. Step 5: Solve for x
    x = 36,122,409.09/5,863.80
  6. Step 6: Final answer
    x = 6,160.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.