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Finding the Fourth Proportional to 3,677, 5,074.68 and 2,105.24

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Solution

The fourth proportional to 3,677, 5,074.68 and 2,105.24 is: 2,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677 : 5,074.68 = 2,105.24 : x
  2. Step 2: Convert to fraction form
    3,677/5,074.68 = 2,105.24/x
  3. Step 3: Cross multiply
    3,677x = 5,074.68 × 2,105.24
  4. Step 4: Simplify right side
    3,677x = 10,683,419.32
  5. Step 5: Solve for x
    x = 10,683,419.32/3,677
  6. Step 6: Final answer
    x = 2,905.47

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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.