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Finding the Fourth Proportional to 3,491.38, 4,817.91 and 1,919.53

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Solution

The fourth proportional to 3,491.38, 4,817.91 and 1,919.53 is: 2,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.38 : 4,817.91 = 1,919.53 : x
  2. Step 2: Convert to fraction form
    3,491.38/4,817.91 = 1,919.53/x
  3. Step 3: Cross multiply
    3,491.38x = 4,817.91 × 1,919.53
  4. Step 4: Simplify right side
    3,491.38x = 9,248,122.78
  5. Step 5: Solve for x
    x = 9,248,122.78/3,491.38
  6. Step 6: Final answer
    x = 2,648.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.