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Finding the Fourth Proportional to 5,707.80, 8,557.22 and 3,627.42

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Solution

The fourth proportional to 5,707.80, 8,557.22 and 3,627.42 is: 5,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.80 : 8,557.22 = 3,627.42 : x
  2. Step 2: Convert to fraction form
    5,707.80/8,557.22 = 3,627.42/x
  3. Step 3: Cross multiply
    5,707.80x = 8,557.22 × 3,627.42
  4. Step 4: Simplify right side
    5,707.80x = 31,040,597.75
  5. Step 5: Solve for x
    x = 31,040,597.75/5,707.80
  6. Step 6: Final answer
    x = 5,438.28

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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.