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Finding the Fourth Proportional to 5,122.98, 7,684.38 and 1,425.42

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Solution

The fourth proportional to 5,122.98, 7,684.38 and 1,425.42 is: 2,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.98 : 7,684.38 = 1,425.42 : x
  2. Step 2: Convert to fraction form
    5,122.98/7,684.38 = 1,425.42/x
  3. Step 3: Cross multiply
    5,122.98x = 7,684.38 × 1,425.42
  4. Step 4: Simplify right side
    5,122.98x = 10,953,468.94
  5. Step 5: Solve for x
    x = 10,953,468.94/5,122.98
  6. Step 6: Final answer
    x = 2,138.10

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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.