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Finding the Fourth Proportional to 3,702.19, 5,109.24 and 2,108.57

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Solution

The fourth proportional to 3,702.19, 5,109.24 and 2,108.57 is: 2,909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.19 : 5,109.24 = 2,108.57 : x
  2. Step 2: Convert to fraction form
    3,702.19/5,109.24 = 2,108.57/x
  3. Step 3: Cross multiply
    3,702.19x = 5,109.24 × 2,108.57
  4. Step 4: Simplify right side
    3,702.19x = 10,773,190.19
  5. Step 5: Solve for x
    x = 10,773,190.19/3,702.19
  6. Step 6: Final answer
    x = 2,909.95

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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.