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Finding the Fourth Proportional to 4,940.38, 7,410.98 and 1,653.47

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Solution

The fourth proportional to 4,940.38, 7,410.98 and 1,653.47 is: 2,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.38 : 7,410.98 = 1,653.47 : x
  2. Step 2: Convert to fraction form
    4,940.38/7,410.98 = 1,653.47/x
  3. Step 3: Cross multiply
    4,940.38x = 7,410.98 × 1,653.47
  4. Step 4: Simplify right side
    4,940.38x = 12,253,833.10
  5. Step 5: Solve for x
    x = 12,253,833.10/4,940.38
  6. Step 6: Final answer
    x = 2,480.34

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Why These Related Problems?

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