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Finding the Fourth Proportional to 4,107.34, 6,166.49 and 3,494.98

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Solution

The fourth proportional to 4,107.34, 6,166.49 and 3,494.98 is: 5,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.34 : 6,166.49 = 3,494.98 : x
  2. Step 2: Convert to fraction form
    4,107.34/6,166.49 = 3,494.98/x
  3. Step 3: Cross multiply
    4,107.34x = 6,166.49 × 3,494.98
  4. Step 4: Simplify right side
    4,107.34x = 21,551,759.22
  5. Step 5: Solve for x
    x = 21,551,759.22/4,107.34
  6. Step 6: Final answer
    x = 5,247.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.