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Finding the Fourth Proportional to 3,468.76, 5,200.74 and 1,277.56

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Solution

The fourth proportional to 3,468.76, 5,200.74 and 1,277.56 is: 1,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.76 : 5,200.74 = 1,277.56 : x
  2. Step 2: Convert to fraction form
    3,468.76/5,200.74 = 1,277.56/x
  3. Step 3: Cross multiply
    3,468.76x = 5,200.74 × 1,277.56
  4. Step 4: Simplify right side
    3,468.76x = 6,644,257.39
  5. Step 5: Solve for x
    x = 6,644,257.39/3,468.76
  6. Step 6: Final answer
    x = 1,915.46

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