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Finding the Fourth Proportional to 3,856.16, 5,784.13 and 1,082.85

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Solution

The fourth proportional to 3,856.16, 5,784.13 and 1,082.85 is: 1,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.16 : 5,784.13 = 1,082.85 : x
  2. Step 2: Convert to fraction form
    3,856.16/5,784.13 = 1,082.85/x
  3. Step 3: Cross multiply
    3,856.16x = 5,784.13 × 1,082.85
  4. Step 4: Simplify right side
    3,856.16x = 6,263,345.17
  5. Step 5: Solve for x
    x = 6,263,345.17/3,856.16
  6. Step 6: Final answer
    x = 1,624.24

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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.