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Finding the Fourth Proportional to 4,494, 6,201.84 and 2,504.64

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Solution

The fourth proportional to 4,494, 6,201.84 and 2,504.64 is: 3,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494 : 6,201.84 = 2,504.64 : x
  2. Step 2: Convert to fraction form
    4,494/6,201.84 = 2,504.64/x
  3. Step 3: Cross multiply
    4,494x = 6,201.84 × 2,504.64
  4. Step 4: Simplify right side
    4,494x = 15,533,376.54
  5. Step 5: Solve for x
    x = 15,533,376.54/4,494
  6. Step 6: Final answer
    x = 3,456.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.