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Finding the Fourth Proportional to 4,221.74, 6,319.04 and 2,244.65

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Solution

The fourth proportional to 4,221.74, 6,319.04 and 2,244.65 is: 3,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.74 : 6,319.04 = 2,244.65 : x
  2. Step 2: Convert to fraction form
    4,221.74/6,319.04 = 2,244.65/x
  3. Step 3: Cross multiply
    4,221.74x = 6,319.04 × 2,244.65
  4. Step 4: Simplify right side
    4,221.74x = 14,183,990.32
  5. Step 5: Solve for x
    x = 14,183,990.32/4,221.74
  6. Step 6: Final answer
    x = 3,359.75

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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.