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Finding the Fourth Proportional to 4,141.53, 6,213.15 and 2,193.21

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Solution

The fourth proportional to 4,141.53, 6,213.15 and 2,193.21 is: 3,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.53 : 6,213.15 = 2,193.21 : x
  2. Step 2: Convert to fraction form
    4,141.53/6,213.15 = 2,193.21/x
  3. Step 3: Cross multiply
    4,141.53x = 6,213.15 × 2,193.21
  4. Step 4: Simplify right side
    4,141.53x = 13,626,742.71
  5. Step 5: Solve for x
    x = 13,626,742.71/4,141.53
  6. Step 6: Final answer
    x = 3,290.27

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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.