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Finding the Fourth Proportional to 5,398.24, 7,438.60 and 4,139.32

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Solution

The fourth proportional to 5,398.24, 7,438.60 and 4,139.32 is: 5,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.24 : 7,438.60 = 4,139.32 : x
  2. Step 2: Convert to fraction form
    5,398.24/7,438.60 = 4,139.32/x
  3. Step 3: Cross multiply
    5,398.24x = 7,438.60 × 4,139.32
  4. Step 4: Simplify right side
    5,398.24x = 30,790,745.75
  5. Step 5: Solve for x
    x = 30,790,745.75/5,398.24
  6. Step 6: Final answer
    x = 5,703.85

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