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Finding the Fourth Proportional to 4,222.87, 5,829.21 and 3,780.01

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Solution

The fourth proportional to 4,222.87, 5,829.21 and 3,780.01 is: 5,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.87 : 5,829.21 = 3,780.01 : x
  2. Step 2: Convert to fraction form
    4,222.87/5,829.21 = 3,780.01/x
  3. Step 3: Cross multiply
    4,222.87x = 5,829.21 × 3,780.01
  4. Step 4: Simplify right side
    4,222.87x = 22,034,424.05
  5. Step 5: Solve for x
    x = 22,034,424.05/4,222.87
  6. Step 6: Final answer
    x = 5,217.88

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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.