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Finding the Fourth Proportional to 3,491.01, 4,817.69 and 1,919.15

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Solution

The fourth proportional to 3,491.01, 4,817.69 and 1,919.15 is: 2,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.01 : 4,817.69 = 1,919.15 : x
  2. Step 2: Convert to fraction form
    3,491.01/4,817.69 = 1,919.15/x
  3. Step 3: Cross multiply
    3,491.01x = 4,817.69 × 1,919.15
  4. Step 4: Simplify right side
    3,491.01x = 9,245,836.08
  5. Step 5: Solve for x
    x = 9,245,836.08/3,491.01
  6. Step 6: Final answer
    x = 2,648.47

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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.