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Finding the Fourth Proportional to 4,220.62, 5,823.84 and 2,649.22

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Solution

The fourth proportional to 4,220.62, 5,823.84 and 2,649.22 is: 3,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.62 : 5,823.84 = 2,649.22 : x
  2. Step 2: Convert to fraction form
    4,220.62/5,823.84 = 2,649.22/x
  3. Step 3: Cross multiply
    4,220.62x = 5,823.84 × 2,649.22
  4. Step 4: Simplify right side
    4,220.62x = 15,428,633.40
  5. Step 5: Solve for x
    x = 15,428,633.40/4,220.62
  6. Step 6: Final answer
    x = 3,655.54

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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.