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Finding the Fourth Proportional to 3,491.19, 5,238.14 and 1,543.41

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Solution

The fourth proportional to 3,491.19, 5,238.14 and 1,543.41 is: 2,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.19 : 5,238.14 = 1,543.41 : x
  2. Step 2: Convert to fraction form
    3,491.19/5,238.14 = 1,543.41/x
  3. Step 3: Cross multiply
    3,491.19x = 5,238.14 × 1,543.41
  4. Step 4: Simplify right side
    3,491.19x = 8,084,589.94
  5. Step 5: Solve for x
    x = 8,084,589.94/3,491.19
  6. Step 6: Final answer
    x = 2,315.71

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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.