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Finding the Fourth Proportional to 4,083.68, 5,635.54 and 2,220.68

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Solution

The fourth proportional to 4,083.68, 5,635.54 and 2,220.68 is: 3,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.68 : 5,635.54 = 2,220.68 : x
  2. Step 2: Convert to fraction form
    4,083.68/5,635.54 = 2,220.68/x
  3. Step 3: Cross multiply
    4,083.68x = 5,635.54 × 2,220.68
  4. Step 4: Simplify right side
    4,083.68x = 12,514,730.97
  5. Step 5: Solve for x
    x = 12,514,730.97/4,083.68
  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.