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Finding the Fourth Proportional to 6,418.81, 8,857.85 and 3,586.23

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Solution

The fourth proportional to 6,418.81, 8,857.85 and 3,586.23 is: 4,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.81 : 8,857.85 = 3,586.23 : x
  2. Step 2: Convert to fraction form
    6,418.81/8,857.85 = 3,586.23/x
  3. Step 3: Cross multiply
    6,418.81x = 8,857.85 × 3,586.23
  4. Step 4: Simplify right side
    6,418.81x = 31,766,287.41
  5. Step 5: Solve for x
    x = 31,766,287.41/6,418.81
  6. Step 6: Final answer
    x = 4,948.94

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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.