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Finding the Fourth Proportional to 6,570.70, 9,067.39 and 3,586.57

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Solution

The fourth proportional to 6,570.70, 9,067.39 and 3,586.57 is: 4,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.70 : 9,067.39 = 3,586.57 : x
  2. Step 2: Convert to fraction form
    6,570.70/9,067.39 = 3,586.57/x
  3. Step 3: Cross multiply
    6,570.70x = 9,067.39 × 3,586.57
  4. Step 4: Simplify right side
    6,570.70x = 32,520,828.95
  5. Step 5: Solve for x
    x = 32,520,828.95/6,570.70
  6. Step 6: Final answer
    x = 4,949.37

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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.