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Finding the Fourth Proportional to 4,220.20, 5,824.02 and 2,649.16

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Solution

The fourth proportional to 4,220.20, 5,824.02 and 2,649.16 is: 3,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.20 : 5,824.02 = 2,649.16 : x
  2. Step 2: Convert to fraction form
    4,220.20/5,824.02 = 2,649.16/x
  3. Step 3: Cross multiply
    4,220.20x = 5,824.02 × 2,649.16
  4. Step 4: Simplify right side
    4,220.20x = 15,428,760.82
  5. Step 5: Solve for x
    x = 15,428,760.82/4,220.20
  6. Step 6: Final answer
    x = 3,655.93

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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.