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Finding the Fourth Proportional to 6,065.28, 8,371.52 and 3,856

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Solution

The fourth proportional to 6,065.28, 8,371.52 and 3,856 is: 5,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.28 : 8,371.52 = 3,856 : x
  2. Step 2: Convert to fraction form
    6,065.28/8,371.52 = 3,856/x
  3. Step 3: Cross multiply
    6,065.28x = 8,371.52 × 3,856
  4. Step 4: Simplify right side
    6,065.28x = 32,280,581.12
  5. Step 5: Solve for x
    x = 32,280,581.12/6,065.28
  6. Step 6: Final answer
    x = 5,322.19

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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.