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Finding the Fourth Proportional to 3,221.08, 4,827.78 and 1,486

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Solution

The fourth proportional to 3,221.08, 4,827.78 and 1,486 is: 2,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.08 : 4,827.78 = 1,486 : x
  2. Step 2: Convert to fraction form
    3,221.08/4,827.78 = 1,486/x
  3. Step 3: Cross multiply
    3,221.08x = 4,827.78 × 1,486
  4. Step 4: Simplify right side
    3,221.08x = 7,174,081.08
  5. Step 5: Solve for x
    x = 7,174,081.08/3,221.08
  6. Step 6: Final answer
    x = 2,227.23

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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.