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Finding the Fourth Proportional to 3,468.78, 5,202.66 and 1,277

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Solution

The fourth proportional to 3,468.78, 5,202.66 and 1,277 is: 1,915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.78 : 5,202.66 = 1,277 : x
  2. Step 2: Convert to fraction form
    3,468.78/5,202.66 = 1,277/x
  3. Step 3: Cross multiply
    3,468.78x = 5,202.66 × 1,277
  4. Step 4: Simplify right side
    3,468.78x = 6,643,796.82
  5. Step 5: Solve for x
    x = 6,643,796.82/3,468.78
  6. Step 6: Final answer
    x = 1,915.31

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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.