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Finding the Fourth Proportional to 7,057.09, 9,738.56 and 3,870.22

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Solution

The fourth proportional to 7,057.09, 9,738.56 and 3,870.22 is: 5,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.09 : 9,738.56 = 3,870.22 : x
  2. Step 2: Convert to fraction form
    7,057.09/9,738.56 = 3,870.22/x
  3. Step 3: Cross multiply
    7,057.09x = 9,738.56 × 3,870.22
  4. Step 4: Simplify right side
    7,057.09x = 37,690,355.01
  5. Step 5: Solve for x
    x = 37,690,355.01/7,057.09
  6. Step 6: Final answer
    x = 5,340.78

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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.