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Finding the Fourth Proportional to 6,104.49, 8,423.94 and 3,586.68

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Solution

The fourth proportional to 6,104.49, 8,423.94 and 3,586.68 is: 4,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.49 : 8,423.94 = 3,586.68 : x
  2. Step 2: Convert to fraction form
    6,104.49/8,423.94 = 3,586.68/x
  3. Step 3: Cross multiply
    6,104.49x = 8,423.94 × 3,586.68
  4. Step 4: Simplify right side
    6,104.49x = 30,213,977.12
  5. Step 5: Solve for x
    x = 30,213,977.12/6,104.49
  6. Step 6: Final answer
    x = 4,949.47

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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.