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Finding the Fourth Proportional to 4,940.88, 6,810.12 and 4,057.44

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Solution

The fourth proportional to 4,940.88, 6,810.12 and 4,057.44 is: 5,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.88 : 6,810.12 = 4,057.44 : x
  2. Step 2: Convert to fraction form
    4,940.88/6,810.12 = 4,057.44/x
  3. Step 3: Cross multiply
    4,940.88x = 6,810.12 × 4,057.44
  4. Step 4: Simplify right side
    4,940.88x = 27,631,653.29
  5. Step 5: Solve for x
    x = 27,631,653.29/4,940.88
  6. Step 6: Final answer
    x = 5,592.46

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1.5x scale

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.