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Finding the Fourth Proportional to 5,863.14, 8,091.23 and 3,210.80

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Solution

The fourth proportional to 5,863.14, 8,091.23 and 3,210.80 is: 4,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.14 : 8,091.23 = 3,210.80 : x
  2. Step 2: Convert to fraction form
    5,863.14/8,091.23 = 3,210.80/x
  3. Step 3: Cross multiply
    5,863.14x = 8,091.23 × 3,210.80
  4. Step 4: Simplify right side
    5,863.14x = 25,979,264.77
  5. Step 5: Solve for x
    x = 25,979,264.77/5,863.14
  6. Step 6: Final answer
    x = 4,430.95

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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.