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Finding the Fourth Proportional to 5,863.83, 8,083.69 and 4,182.36

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Solution

The fourth proportional to 5,863.83, 8,083.69 and 4,182.36 is: 5,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.83 : 8,083.69 = 4,182.36 : x
  2. Step 2: Convert to fraction form
    5,863.83/8,083.69 = 4,182.36/x
  3. Step 3: Cross multiply
    5,863.83x = 8,083.69 × 4,182.36
  4. Step 4: Simplify right side
    5,863.83x = 33,808,901.71
  5. Step 5: Solve for x
    x = 33,808,901.71/5,863.83
  6. Step 6: Final answer
    x = 5,765.67

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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.