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Finding the Fourth Proportional to 5,377.38, 7,420.14 and 3,138.99

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Solution

The fourth proportional to 5,377.38, 7,420.14 and 3,138.99 is: 4,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.38 : 7,420.14 = 3,138.99 : x
  2. Step 2: Convert to fraction form
    5,377.38/7,420.14 = 3,138.99/x
  3. Step 3: Cross multiply
    5,377.38x = 7,420.14 × 3,138.99
  4. Step 4: Simplify right side
    5,377.38x = 23,291,745.26
  5. Step 5: Solve for x
    x = 23,291,745.26/5,377.38
  6. Step 6: Final answer
    x = 4,331.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.