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Finding the Fourth Proportional to 5,207.70, 7,181.17 and 3,436.98

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Solution

The fourth proportional to 5,207.70, 7,181.17 and 3,436.98 is: 4,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.70 : 7,181.17 = 3,436.98 : x
  2. Step 2: Convert to fraction form
    5,207.70/7,181.17 = 3,436.98/x
  3. Step 3: Cross multiply
    5,207.70x = 7,181.17 × 3,436.98
  4. Step 4: Simplify right side
    5,207.70x = 24,681,537.67
  5. Step 5: Solve for x
    x = 24,681,537.67/5,207.70
  6. Step 6: Final answer
    x = 4,739.43

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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.