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Finding the Fourth Proportional to 3,856.16, 5,784.14 and 1,082.86

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Solution

The fourth proportional to 3,856.16, 5,784.14 and 1,082.86 is: 1,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.16 : 5,784.14 = 1,082.86 : x
  2. Step 2: Convert to fraction form
    3,856.16/5,784.14 = 1,082.86/x
  3. Step 3: Cross multiply
    3,856.16x = 5,784.14 × 1,082.86
  4. Step 4: Simplify right side
    3,856.16x = 6,263,379.51
  5. Step 5: Solve for x
    x = 6,263,379.51/3,856.16
  6. Step 6: Final answer
    x = 1,624.25

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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.