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Finding the Fourth Proportional to 2,820.02, 3,889.22 and 2,229.53

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Solution

The fourth proportional to 2,820.02, 3,889.22 and 2,229.53 is: 3,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.02 : 3,889.22 = 2,229.53 : x
  2. Step 2: Convert to fraction form
    2,820.02/3,889.22 = 2,229.53/x
  3. Step 3: Cross multiply
    2,820.02x = 3,889.22 × 2,229.53
  4. Step 4: Simplify right side
    2,820.02x = 8,671,102.07
  5. Step 5: Solve for x
    x = 8,671,102.07/2,820.02
  6. Step 6: Final answer
    x = 3,074.84

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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.