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Finding the Fourth Proportional to 5,634.62, 7,775.98 and 3,277.52

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Solution

The fourth proportional to 5,634.62, 7,775.98 and 3,277.52 is: 4,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.62 : 7,775.98 = 3,277.52 : x
  2. Step 2: Convert to fraction form
    5,634.62/7,775.98 = 3,277.52/x
  3. Step 3: Cross multiply
    5,634.62x = 7,775.98 × 3,277.52
  4. Step 4: Simplify right side
    5,634.62x = 25,485,929.97
  5. Step 5: Solve for x
    x = 25,485,929.97/5,634.62
  6. Step 6: Final answer
    x = 4,523.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.