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Finding the Fourth Proportional to 6,570.58, 9,067.68 and 3,738.46

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Solution

The fourth proportional to 6,570.58, 9,067.68 and 3,738.46 is: 5,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.58 : 9,067.68 = 3,738.46 : x
  2. Step 2: Convert to fraction form
    6,570.58/9,067.68 = 3,738.46/x
  3. Step 3: Cross multiply
    6,570.58x = 9,067.68 × 3,738.46
  4. Step 4: Simplify right side
    6,570.58x = 33,899,158.97
  5. Step 5: Solve for x
    x = 33,899,158.97/6,570.58
  6. Step 6: Final answer
    x = 5,159.23

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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.