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Finding the Fourth Proportional to 3,491.02, 4,817.61 and 1,919.11

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Solution

The fourth proportional to 3,491.02, 4,817.61 and 1,919.11 is: 2,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.02 : 4,817.61 = 1,919.11 : x
  2. Step 2: Convert to fraction form
    3,491.02/4,817.61 = 1,919.11/x
  3. Step 3: Cross multiply
    3,491.02x = 4,817.61 × 1,919.11
  4. Step 4: Simplify right side
    3,491.02x = 9,245,520.52
  5. Step 5: Solve for x
    x = 9,245,520.52/3,491.02
  6. Step 6: Final answer
    x = 2,648.38

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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.