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Finding the Fourth Proportional to 5,172.42, 7,137 and 2,934.39

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Solution

The fourth proportional to 5,172.42, 7,137 and 2,934.39 is: 4,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.42 : 7,137 = 2,934.39 : x
  2. Step 2: Convert to fraction form
    5,172.42/7,137 = 2,934.39/x
  3. Step 3: Cross multiply
    5,172.42x = 7,137 × 2,934.39
  4. Step 4: Simplify right side
    5,172.42x = 20,942,741.43
  5. Step 5: Solve for x
    x = 20,942,741.43/5,172.42
  6. Step 6: Final answer
    x = 4,048.93

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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.