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Finding the Fourth Proportional to 4,229.46, 6,346.94 and 1,890.90

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Solution

The fourth proportional to 4,229.46, 6,346.94 and 1,890.90 is: 2,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.46 : 6,346.94 = 1,890.90 : x
  2. Step 2: Convert to fraction form
    4,229.46/6,346.94 = 1,890.90/x
  3. Step 3: Cross multiply
    4,229.46x = 6,346.94 × 1,890.90
  4. Step 4: Simplify right side
    4,229.46x = 12,001,419.39
  5. Step 5: Solve for x
    x = 12,001,419.39/4,229.46
  6. Step 6: Final answer
    x = 2,837.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.