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Finding the Fourth Proportional to 5,709.82, 8,565.26 and 2,246.26

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Solution

The fourth proportional to 5,709.82, 8,565.26 and 2,246.26 is: 3,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.82 : 8,565.26 = 2,246.26 : x
  2. Step 2: Convert to fraction form
    5,709.82/8,565.26 = 2,246.26/x
  3. Step 3: Cross multiply
    5,709.82x = 8,565.26 × 2,246.26
  4. Step 4: Simplify right side
    5,709.82x = 19,239,800.93
  5. Step 5: Solve for x
    x = 19,239,800.93/5,709.82
  6. Step 6: Final answer
    x = 3,369.60

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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.