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Finding the Fourth Proportional to 4,244.04, 6,366.42 and 1,647

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Solution

The fourth proportional to 4,244.04, 6,366.42 and 1,647 is: 2,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.04 : 6,366.42 = 1,647 : x
  2. Step 2: Convert to fraction form
    4,244.04/6,366.42 = 1,647/x
  3. Step 3: Cross multiply
    4,244.04x = 6,366.42 × 1,647
  4. Step 4: Simplify right side
    4,244.04x = 10,485,493.74
  5. Step 5: Solve for x
    x = 10,485,493.74/4,244.04
  6. Step 6: Final answer
    x = 2,470.64

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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.