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Finding the Fourth Proportional to 6,057.97, 8,348.09 and 4,643.26

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Solution

The fourth proportional to 6,057.97, 8,348.09 and 4,643.26 is: 6,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.97 : 8,348.09 = 4,643.26 : x
  2. Step 2: Convert to fraction form
    6,057.97/8,348.09 = 4,643.26/x
  3. Step 3: Cross multiply
    6,057.97x = 8,348.09 × 4,643.26
  4. Step 4: Simplify right side
    6,057.97x = 38,762,308.29
  5. Step 5: Solve for x
    x = 38,762,308.29/6,057.97
  6. Step 6: Final answer
    x = 6,398.57

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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.