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Finding the Fourth Proportional to 3,491.74, 5,238.14 and 1,026.27

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Solution

The fourth proportional to 3,491.74, 5,238.14 and 1,026.27 is: 1,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.74 : 5,238.14 = 1,026.27 : x
  2. Step 2: Convert to fraction form
    3,491.74/5,238.14 = 1,026.27/x
  3. Step 3: Cross multiply
    3,491.74x = 5,238.14 × 1,026.27
  4. Step 4: Simplify right side
    3,491.74x = 5,375,740.81
  5. Step 5: Solve for x
    x = 5,375,740.81/3,491.74
  6. Step 6: Final answer
    x = 1,539.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.