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Finding the Fourth Proportional to 6,570.85, 9,067.44 and 3,586.66

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Solution

The fourth proportional to 6,570.85, 9,067.44 and 3,586.66 is: 4,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.85 : 9,067.44 = 3,586.66 : x
  2. Step 2: Convert to fraction form
    6,570.85/9,067.44 = 3,586.66/x
  3. Step 3: Cross multiply
    6,570.85x = 9,067.44 × 3,586.66
  4. Step 4: Simplify right side
    6,570.85x = 32,521,824.35
  5. Step 5: Solve for x
    x = 32,521,824.35/6,570.85
  6. Step 6: Final answer
    x = 4,949.41

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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.