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Finding the Fourth Proportional to 5,438.93, 7,507.82 and 3,200.90

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Solution

The fourth proportional to 5,438.93, 7,507.82 and 3,200.90 is: 4,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.93 : 7,507.82 = 3,200.90 : x
  2. Step 2: Convert to fraction form
    5,438.93/7,507.82 = 3,200.90/x
  3. Step 3: Cross multiply
    5,438.93x = 7,507.82 × 3,200.90
  4. Step 4: Simplify right side
    5,438.93x = 24,031,727.49
  5. Step 5: Solve for x
    x = 24,031,727.49/5,438.93
  6. Step 6: Final answer
    x = 4,418.47

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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.