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Finding the Fourth Proportional to 5,863.41, 8,091.44 and 3,210.77

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Solution

The fourth proportional to 5,863.41, 8,091.44 and 3,210.77 is: 4,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.41 : 8,091.44 = 3,210.77 : x
  2. Step 2: Convert to fraction form
    5,863.41/8,091.44 = 3,210.77/x
  3. Step 3: Cross multiply
    5,863.41x = 8,091.44 × 3,210.77
  4. Step 4: Simplify right side
    5,863.41x = 25,979,696.30
  5. Step 5: Solve for x
    x = 25,979,696.30/5,863.41
  6. Step 6: Final answer
    x = 4,430.82

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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.