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Finding the Fourth Proportional to 5,057.53, 6,980.31 and 3,267.22

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Solution

The fourth proportional to 5,057.53, 6,980.31 and 3,267.22 is: 4,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.53 : 6,980.31 = 3,267.22 : x
  2. Step 2: Convert to fraction form
    5,057.53/6,980.31 = 3,267.22/x
  3. Step 3: Cross multiply
    5,057.53x = 6,980.31 × 3,267.22
  4. Step 4: Simplify right side
    5,057.53x = 22,806,208.44
  5. Step 5: Solve for x
    x = 22,806,208.44/5,057.53
  6. Step 6: Final answer
    x = 4,509.36

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