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Finding the Fourth Proportional to 6,570.83, 9,067.67 and 3,586.79

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Solution

The fourth proportional to 6,570.83, 9,067.67 and 3,586.79 is: 4,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.83 : 9,067.67 = 3,586.79 : x
  2. Step 2: Convert to fraction form
    6,570.83/9,067.67 = 3,586.79/x
  3. Step 3: Cross multiply
    6,570.83x = 9,067.67 × 3,586.79
  4. Step 4: Simplify right side
    6,570.83x = 32,523,764.81
  5. Step 5: Solve for x
    x = 32,523,764.81/6,570.83
  6. Step 6: Final answer
    x = 4,949.72

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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.