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Finding the Fourth Proportional to 5,493.78, 8,283.77 and 5,034.51

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Solution

The fourth proportional to 5,493.78, 8,283.77 and 5,034.51 is: 7,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.78 : 8,283.77 = 5,034.51 : x
  2. Step 2: Convert to fraction form
    5,493.78/8,283.77 = 5,034.51/x
  3. Step 3: Cross multiply
    5,493.78x = 8,283.77 × 5,034.51
  4. Step 4: Simplify right side
    5,493.78x = 41,704,697.73
  5. Step 5: Solve for x
    x = 41,704,697.73/5,493.78
  6. Step 6: Final answer
    x = 7,591.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.