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Finding the Fourth Proportional to 5,122.78, 7,682.95 and 1,425.13

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Solution

The fourth proportional to 5,122.78, 7,682.95 and 1,425.13 is: 2,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.78 : 7,682.95 = 1,425.13 : x
  2. Step 2: Convert to fraction form
    5,122.78/7,682.95 = 1,425.13/x
  3. Step 3: Cross multiply
    5,122.78x = 7,682.95 × 1,425.13
  4. Step 4: Simplify right side
    5,122.78x = 10,949,202.53
  5. Step 5: Solve for x
    x = 10,949,202.53/5,122.78
  6. Step 6: Final answer
    x = 2,137.36

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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.