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Finding the Fourth Proportional to 5,491.74, 8,236.50 and 1,794.08

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Solution

The fourth proportional to 5,491.74, 8,236.50 and 1,794.08 is: 2,690.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.74 : 8,236.50 = 1,794.08 : x
  2. Step 2: Convert to fraction form
    5,491.74/8,236.50 = 1,794.08/x
  3. Step 3: Cross multiply
    5,491.74x = 8,236.50 × 1,794.08
  4. Step 4: Simplify right side
    5,491.74x = 14,776,939.92
  5. Step 5: Solve for x
    x = 14,776,939.92/5,491.74
  6. Step 6: Final answer
    x = 2,690.76

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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.