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Finding the Fourth Proportional to 3,702.90, 5,107.60 and 2,209.66

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Solution

The fourth proportional to 3,702.90, 5,107.60 and 2,209.66 is: 3,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.90 : 5,107.60 = 2,209.66 : x
  2. Step 2: Convert to fraction form
    3,702.90/5,107.60 = 2,209.66/x
  3. Step 3: Cross multiply
    3,702.90x = 5,107.60 × 2,209.66
  4. Step 4: Simplify right side
    3,702.90x = 11,286,059.42
  5. Step 5: Solve for x
    x = 11,286,059.42/3,702.90
  6. Step 6: Final answer
    x = 3,047.90

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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.