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Finding the Fourth Proportional to 3,491.57, 5,238.12 and 1,152.29

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Solution

The fourth proportional to 3,491.57, 5,238.12 and 1,152.29 is: 1,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.57 : 5,238.12 = 1,152.29 : x
  2. Step 2: Convert to fraction form
    3,491.57/5,238.12 = 1,152.29/x
  3. Step 3: Cross multiply
    3,491.57x = 5,238.12 × 1,152.29
  4. Step 4: Simplify right side
    3,491.57x = 6,035,846.39
  5. Step 5: Solve for x
    x = 6,035,846.39/3,491.57
  6. Step 6: Final answer
    x = 1,728.69

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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.