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Finding the Fourth Proportional to 4,161.35, 6,223.66 and 3,702.35

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Solution

The fourth proportional to 4,161.35, 6,223.66 and 3,702.35 is: 5,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.35 : 6,223.66 = 3,702.35 : x
  2. Step 2: Convert to fraction form
    4,161.35/6,223.66 = 3,702.35/x
  3. Step 3: Cross multiply
    4,161.35x = 6,223.66 × 3,702.35
  4. Step 4: Simplify right side
    4,161.35x = 23,042,149.09
  5. Step 5: Solve for x
    x = 23,042,149.09/4,161.35
  6. Step 6: Final answer
    x = 5,537.18

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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.