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Finding the Fourth Proportional to 3,856.29, 5,783.43 and 1,082.85

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Solution

The fourth proportional to 3,856.29, 5,783.43 and 1,082.85 is: 1,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.29 : 5,783.43 = 1,082.85 : x
  2. Step 2: Convert to fraction form
    3,856.29/5,783.43 = 1,082.85/x
  3. Step 3: Cross multiply
    3,856.29x = 5,783.43 × 1,082.85
  4. Step 4: Simplify right side
    3,856.29x = 6,262,587.18
  5. Step 5: Solve for x
    x = 6,262,587.18/3,856.29
  6. Step 6: Final answer
    x = 1,623.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.