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Finding the Fourth Proportional to 3,491.08, 5,236.62 and 1,542.76

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Solution

The fourth proportional to 3,491.08, 5,236.62 and 1,542.76 is: 2,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.08 : 5,236.62 = 1,542.76 : x
  2. Step 2: Convert to fraction form
    3,491.08/5,236.62 = 1,542.76/x
  3. Step 3: Cross multiply
    3,491.08x = 5,236.62 × 1,542.76
  4. Step 4: Simplify right side
    3,491.08x = 8,078,847.87
  5. Step 5: Solve for x
    x = 8,078,847.87/3,491.08
  6. Step 6: Final answer
    x = 2,314.14

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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.