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Finding the Fourth Proportional to 3,702.64, 5,110.66 and 2,211.56

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Solution

The fourth proportional to 3,702.64, 5,110.66 and 2,211.56 is: 3,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.64 : 5,110.66 = 2,211.56 : x
  2. Step 2: Convert to fraction form
    3,702.64/5,110.66 = 2,211.56/x
  3. Step 3: Cross multiply
    3,702.64x = 5,110.66 × 2,211.56
  4. Step 4: Simplify right side
    3,702.64x = 11,302,531.23
  5. Step 5: Solve for x
    x = 11,302,531.23/3,702.64
  6. Step 6: Final answer
    x = 3,052.56

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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.