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Finding the Fourth Proportional to 4,200.53, 5,799.22 and 3,733.43

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Solution

The fourth proportional to 4,200.53, 5,799.22 and 3,733.43 is: 5,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.53 : 5,799.22 = 3,733.43 : x
  2. Step 2: Convert to fraction form
    4,200.53/5,799.22 = 3,733.43/x
  3. Step 3: Cross multiply
    4,200.53x = 5,799.22 × 3,733.43
  4. Step 4: Simplify right side
    4,200.53x = 21,650,943.59
  5. Step 5: Solve for x
    x = 21,650,943.59/4,200.53
  6. Step 6: Final answer
    x = 5,154.34

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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.