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Finding the Fourth Proportional to 3,702.00, 5,108.28 and 2,108.85

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Solution

The fourth proportional to 3,702.00, 5,108.28 and 2,108.85 is: 2,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.00 : 5,108.28 = 2,108.85 : x
  2. Step 2: Convert to fraction form
    3,702.00/5,108.28 = 2,108.85/x
  3. Step 3: Cross multiply
    3,702.00x = 5,108.28 × 2,108.85
  4. Step 4: Simplify right side
    3,702.00x = 10,772,570.74
  5. Step 5: Solve for x
    x = 10,772,570.74/3,702.00
  6. Step 6: Final answer
    x = 2,909.94

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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.