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Finding the Fourth Proportional to 4,114.16, 6,168.78 and 3,498.16

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Solution

The fourth proportional to 4,114.16, 6,168.78 and 3,498.16 is: 5,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.16 : 6,168.78 = 3,498.16 : x
  2. Step 2: Convert to fraction form
    4,114.16/6,168.78 = 3,498.16/x
  3. Step 3: Cross multiply
    4,114.16x = 6,168.78 × 3,498.16
  4. Step 4: Simplify right side
    4,114.16x = 21,579,379.44
  5. Step 5: Solve for x
    x = 21,579,379.44/4,114.16
  6. Step 6: Final answer
    x = 5,245.15

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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.