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Finding the Fourth Proportional to 5,172.88, 7,762.50 and 2,251.42

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Solution

The fourth proportional to 5,172.88, 7,762.50 and 2,251.42 is: 3,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.88 : 7,762.50 = 2,251.42 : x
  2. Step 2: Convert to fraction form
    5,172.88/7,762.50 = 2,251.42/x
  3. Step 3: Cross multiply
    5,172.88x = 7,762.50 × 2,251.42
  4. Step 4: Simplify right side
    5,172.88x = 17,476,647.75
  5. Step 5: Solve for x
    x = 17,476,647.75/5,172.88
  6. Step 6: Final answer
    x = 3,378.51

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Why These Related Problems?

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