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Finding the Fourth Proportional to 3,758.67, 5,638.01 and 3,530.32

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Solution

The fourth proportional to 3,758.67, 5,638.01 and 3,530.32 is: 5,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.67 : 5,638.01 = 3,530.32 : x
  2. Step 2: Convert to fraction form
    3,758.67/5,638.01 = 3,530.32/x
  3. Step 3: Cross multiply
    3,758.67x = 5,638.01 × 3,530.32
  4. Step 4: Simplify right side
    3,758.67x = 19,903,947.72
  5. Step 5: Solve for x
    x = 19,903,947.72/3,758.67
  6. Step 6: Final answer
    x = 5,295.48

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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.