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Finding the Fourth Proportional to 4,221.51, 5,820.22 and 2,892.84

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Solution

The fourth proportional to 4,221.51, 5,820.22 and 2,892.84 is: 3,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.51 : 5,820.22 = 2,892.84 : x
  2. Step 2: Convert to fraction form
    4,221.51/5,820.22 = 2,892.84/x
  3. Step 3: Cross multiply
    4,221.51x = 5,820.22 × 2,892.84
  4. Step 4: Simplify right side
    4,221.51x = 16,836,921.66
  5. Step 5: Solve for x
    x = 16,836,921.66/4,221.51
  6. Step 6: Final answer
    x = 3,988.37

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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.