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Finding the Fourth Proportional to 5,863.21, 8,091.11 and 3,345.46

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Solution

The fourth proportional to 5,863.21, 8,091.11 and 3,345.46 is: 4,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.21 : 8,091.11 = 3,345.46 : x
  2. Step 2: Convert to fraction form
    5,863.21/8,091.11 = 3,345.46/x
  3. Step 3: Cross multiply
    5,863.21x = 8,091.11 × 3,345.46
  4. Step 4: Simplify right side
    5,863.21x = 27,068,473.00
  5. Step 5: Solve for x
    x = 27,068,473.00/5,863.21
  6. Step 6: Final answer
    x = 4,616.67

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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.