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Finding the Fourth Proportional to 5,640.24, 8,461.29 and 1,744.62

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Solution

The fourth proportional to 5,640.24, 8,461.29 and 1,744.62 is: 2,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.24 : 8,461.29 = 1,744.62 : x
  2. Step 2: Convert to fraction form
    5,640.24/8,461.29 = 1,744.62/x
  3. Step 3: Cross multiply
    5,640.24x = 8,461.29 × 1,744.62
  4. Step 4: Simplify right side
    5,640.24x = 14,761,735.76
  5. Step 5: Solve for x
    x = 14,761,735.76/5,640.24
  6. Step 6: Final answer
    x = 2,617.22

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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.