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Finding the Fourth Proportional to 6,570.40, 9,067.16 and 3,586.28

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Solution

The fourth proportional to 6,570.40, 9,067.16 and 3,586.28 is: 4,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.40 : 9,067.16 = 3,586.28 : x
  2. Step 2: Convert to fraction form
    6,570.40/9,067.16 = 3,586.28/x
  3. Step 3: Cross multiply
    6,570.40x = 9,067.16 × 3,586.28
  4. Step 4: Simplify right side
    6,570.40x = 32,517,374.56
  5. Step 5: Solve for x
    x = 32,517,374.56/6,570.40
  6. Step 6: Final answer
    x = 4,949.07

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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.