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Finding the Fourth Proportional to 3,702.06, 5,110.16 and 3,264.66

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Solution

The fourth proportional to 3,702.06, 5,110.16 and 3,264.66 is: 4,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.06 : 5,110.16 = 3,264.66 : x
  2. Step 2: Convert to fraction form
    3,702.06/5,110.16 = 3,264.66/x
  3. Step 3: Cross multiply
    3,702.06x = 5,110.16 × 3,264.66
  4. Step 4: Simplify right side
    3,702.06x = 16,682,918.62
  5. Step 5: Solve for x
    x = 16,682,918.62/3,702.06
  6. Step 6: Final answer
    x = 4,506.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.