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Finding the Fourth Proportional to 3,532.06, 5,296 and 1,340.94

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Solution

The fourth proportional to 3,532.06, 5,296 and 1,340.94 is: 2,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.06 : 5,296 = 1,340.94 : x
  2. Step 2: Convert to fraction form
    3,532.06/5,296 = 1,340.94/x
  3. Step 3: Cross multiply
    3,532.06x = 5,296 × 1,340.94
  4. Step 4: Simplify right side
    3,532.06x = 7,101,618.24
  5. Step 5: Solve for x
    x = 7,101,618.24/3,532.06
  6. Step 6: Final answer
    x = 2,010.62

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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.