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Finding the Fourth Proportional to 5,681.72, 8,522.58 and 1,786.22

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Solution

The fourth proportional to 5,681.72, 8,522.58 and 1,786.22 is: 2,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.72 : 8,522.58 = 1,786.22 : x
  2. Step 2: Convert to fraction form
    5,681.72/8,522.58 = 1,786.22/x
  3. Step 3: Cross multiply
    5,681.72x = 8,522.58 × 1,786.22
  4. Step 4: Simplify right side
    5,681.72x = 15,223,202.85
  5. Step 5: Solve for x
    x = 15,223,202.85/5,681.72
  6. Step 6: Final answer
    x = 2,679.33

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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.