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Finding the Fourth Proportional to 3,491.75, 5,224.55 and 2,081.01

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Solution

The fourth proportional to 3,491.75, 5,224.55 and 2,081.01 is: 3,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.75 : 5,224.55 = 2,081.01 : x
  2. Step 2: Convert to fraction form
    3,491.75/5,224.55 = 2,081.01/x
  3. Step 3: Cross multiply
    3,491.75x = 5,224.55 × 2,081.01
  4. Step 4: Simplify right side
    3,491.75x = 10,872,330.39
  5. Step 5: Solve for x
    x = 10,872,330.39/3,491.75
  6. Step 6: Final answer
    x = 3,113.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.