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Finding the Fourth Proportional to 5,122.74, 7,684.13 and 1,425

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Solution

The fourth proportional to 5,122.74, 7,684.13 and 1,425 is: 2,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.74 : 7,684.13 = 1,425 : x
  2. Step 2: Convert to fraction form
    5,122.74/7,684.13 = 1,425/x
  3. Step 3: Cross multiply
    5,122.74x = 7,684.13 × 1,425
  4. Step 4: Simplify right side
    5,122.74x = 10,949,885.25
  5. Step 5: Solve for x
    x = 10,949,885.25/5,122.74
  6. Step 6: Final answer
    x = 2,137.51

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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.