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Finding the Fourth Proportional to 3,491.80, 5,238.04 and 1,150.86

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Solution

The fourth proportional to 3,491.80, 5,238.04 and 1,150.86 is: 1,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.80 : 5,238.04 = 1,150.86 : x
  2. Step 2: Convert to fraction form
    3,491.80/5,238.04 = 1,150.86/x
  3. Step 3: Cross multiply
    3,491.80x = 5,238.04 × 1,150.86
  4. Step 4: Simplify right side
    3,491.80x = 6,028,250.71
  5. Step 5: Solve for x
    x = 6,028,250.71/3,491.80
  6. Step 6: Final answer
    x = 1,726.40

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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.