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Finding the Fourth Proportional to 5,047.26, 6,965.28 and 3,057.48

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Solution

The fourth proportional to 5,047.26, 6,965.28 and 3,057.48 is: 4,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.26 : 6,965.28 = 3,057.48 : x
  2. Step 2: Convert to fraction form
    5,047.26/6,965.28 = 3,057.48/x
  3. Step 3: Cross multiply
    5,047.26x = 6,965.28 × 3,057.48
  4. Step 4: Simplify right side
    5,047.26x = 21,296,204.29
  5. Step 5: Solve for x
    x = 21,296,204.29/5,047.26
  6. Step 6: Final answer
    x = 4,219.36

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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.