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Finding the Fourth Proportional to 3,491.32, 5,236.68 and 1,642.84

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Solution

The fourth proportional to 3,491.32, 5,236.68 and 1,642.84 is: 2,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.32 : 5,236.68 = 1,642.84 : x
  2. Step 2: Convert to fraction form
    3,491.32/5,236.68 = 1,642.84/x
  3. Step 3: Cross multiply
    3,491.32x = 5,236.68 × 1,642.84
  4. Step 4: Simplify right side
    3,491.32x = 8,603,027.37
  5. Step 5: Solve for x
    x = 8,603,027.37/3,491.32
  6. Step 6: Final answer
    x = 2,464.12

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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.