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Finding the Fourth Proportional to 3,228.13, 4,841.62 and 856.23

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Solution

The fourth proportional to 3,228.13, 4,841.62 and 856.23 is: 1,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.13 : 4,841.62 = 856.23 : x
  2. Step 2: Convert to fraction form
    3,228.13/4,841.62 = 856.23/x
  3. Step 3: Cross multiply
    3,228.13x = 4,841.62 × 856.23
  4. Step 4: Simplify right side
    3,228.13x = 4,145,511.80
  5. Step 5: Solve for x
    x = 4,145,511.80/3,228.13
  6. Step 6: Final answer
    x = 1,284.18

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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.