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Finding the Fourth Proportional to 3,671, 5,065.64 and 2,099.04

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Solution

The fourth proportional to 3,671, 5,065.64 and 2,099.04 is: 2,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671 : 5,065.64 = 2,099.04 : x
  2. Step 2: Convert to fraction form
    3,671/5,065.64 = 2,099.04/x
  3. Step 3: Cross multiply
    3,671x = 5,065.64 × 2,099.04
  4. Step 4: Simplify right side
    3,671x = 10,632,980.99
  5. Step 5: Solve for x
    x = 10,632,980.99/3,671
  6. Step 6: Final answer
    x = 2,896.48

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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.