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Finding the Fourth Proportional to 4,083.71, 5,635.50 and 2,220.71

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Solution

The fourth proportional to 4,083.71, 5,635.50 and 2,220.71 is: 3,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.71 : 5,635.50 = 2,220.71 : x
  2. Step 2: Convert to fraction form
    4,083.71/5,635.50 = 2,220.71/x
  3. Step 3: Cross multiply
    4,083.71x = 5,635.50 × 2,220.71
  4. Step 4: Simplify right side
    4,083.71x = 12,514,811.21
  5. Step 5: Solve for x
    x = 12,514,811.21/4,083.71
  6. Step 6: Final answer
    x = 3,064.57

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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.