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Finding the Fourth Proportional to 5,172.21, 7,138.38 and 2,934.64

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Solution

The fourth proportional to 5,172.21, 7,138.38 and 2,934.64 is: 4,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.21 : 7,138.38 = 2,934.64 : x
  2. Step 2: Convert to fraction form
    5,172.21/7,138.38 = 2,934.64/x
  3. Step 3: Cross multiply
    5,172.21x = 7,138.38 × 2,934.64
  4. Step 4: Simplify right side
    5,172.21x = 20,948,595.41
  5. Step 5: Solve for x
    x = 20,948,595.41/5,172.21
  6. Step 6: Final answer
    x = 4,050.22

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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.