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Finding the Fourth Proportional to 5,341.44, 8,012.70 and 1,446.24

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Solution

The fourth proportional to 5,341.44, 8,012.70 and 1,446.24 is: 2,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.44 : 8,012.70 = 1,446.24 : x
  2. Step 2: Convert to fraction form
    5,341.44/8,012.70 = 1,446.24/x
  3. Step 3: Cross multiply
    5,341.44x = 8,012.70 × 1,446.24
  4. Step 4: Simplify right side
    5,341.44x = 11,588,287.25
  5. Step 5: Solve for x
    x = 11,588,287.25/5,341.44
  6. Step 6: Final answer
    x = 2,169.51

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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.