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Finding the Fourth Proportional to 3,702.32, 5,109.90 and 2,211.14

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Solution

The fourth proportional to 3,702.32, 5,109.90 and 2,211.14 is: 3,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.32 : 5,109.90 = 2,211.14 : x
  2. Step 2: Convert to fraction form
    3,702.32/5,109.90 = 2,211.14/x
  3. Step 3: Cross multiply
    3,702.32x = 5,109.90 × 2,211.14
  4. Step 4: Simplify right side
    3,702.32x = 11,298,704.29
  5. Step 5: Solve for x
    x = 11,298,704.29/3,702.32
  6. Step 6: Final answer
    x = 3,051.79

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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.