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Finding the Fourth Proportional to 3,702.26, 5,551.66 and 1,361.67

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Solution

The fourth proportional to 3,702.26, 5,551.66 and 1,361.67 is: 2,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.26 : 5,551.66 = 1,361.67 : x
  2. Step 2: Convert to fraction form
    3,702.26/5,551.66 = 1,361.67/x
  3. Step 3: Cross multiply
    3,702.26x = 5,551.66 × 1,361.67
  4. Step 4: Simplify right side
    3,702.26x = 7,559,494.31
  5. Step 5: Solve for x
    x = 7,559,494.31/3,702.26
  6. Step 6: Final answer
    x = 2,041.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.