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Finding the Fourth Proportional to 6,238.11, 8,609.46 and 3,585.47

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Solution

The fourth proportional to 6,238.11, 8,609.46 and 3,585.47 is: 4,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.11 : 8,609.46 = 3,585.47 : x
  2. Step 2: Convert to fraction form
    6,238.11/8,609.46 = 3,585.47/x
  3. Step 3: Cross multiply
    6,238.11x = 8,609.46 × 3,585.47
  4. Step 4: Simplify right side
    6,238.11x = 30,868,904.05
  5. Step 5: Solve for x
    x = 30,868,904.05/6,238.11
  6. Step 6: Final answer
    x = 4,948.44

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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.