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Finding the Fourth Proportional to 3,491.27, 5,237.74 and 1,026.04

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Solution

The fourth proportional to 3,491.27, 5,237.74 and 1,026.04 is: 1,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.27 : 5,237.74 = 1,026.04 : x
  2. Step 2: Convert to fraction form
    3,491.27/5,237.74 = 1,026.04/x
  3. Step 3: Cross multiply
    3,491.27x = 5,237.74 × 1,026.04
  4. Step 4: Simplify right side
    3,491.27x = 5,374,104.56
  5. Step 5: Solve for x
    x = 5,374,104.56/3,491.27
  6. Step 6: Final answer
    x = 1,539.30

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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.