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Finding the Fourth Proportional to 3,491, 5,236.62 and 1,182.68

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Solution

The fourth proportional to 3,491, 5,236.62 and 1,182.68 is: 1,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491 : 5,236.62 = 1,182.68 : x
  2. Step 2: Convert to fraction form
    3,491/5,236.62 = 1,182.68/x
  3. Step 3: Cross multiply
    3,491x = 5,236.62 × 1,182.68
  4. Step 4: Simplify right side
    3,491x = 6,193,245.74
  5. Step 5: Solve for x
    x = 6,193,245.74/3,491
  6. Step 6: Final answer
    x = 1,774.06

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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.