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Finding the Fourth Proportional to 5,012.78, 7,520.37 and 1,550

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Solution

The fourth proportional to 5,012.78, 7,520.37 and 1,550 is: 2,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.78 : 7,520.37 = 1,550 : x
  2. Step 2: Convert to fraction form
    5,012.78/7,520.37 = 1,550/x
  3. Step 3: Cross multiply
    5,012.78x = 7,520.37 × 1,550
  4. Step 4: Simplify right side
    5,012.78x = 11,656,573.50
  5. Step 5: Solve for x
    x = 11,656,573.50/5,012.78
  6. Step 6: Final answer
    x = 2,325.37

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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.