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Finding the Fourth Proportional to 5,681.72, 8,523.12 and 2,171.72

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Solution

The fourth proportional to 5,681.72, 8,523.12 and 2,171.72 is: 3,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.72 : 8,523.12 = 2,171.72 : x
  2. Step 2: Convert to fraction form
    5,681.72/8,523.12 = 2,171.72/x
  3. Step 3: Cross multiply
    5,681.72x = 8,523.12 × 2,171.72
  4. Step 4: Simplify right side
    5,681.72x = 18,509,830.17
  5. Step 5: Solve for x
    x = 18,509,830.17/5,681.72
  6. Step 6: Final answer
    x = 3,257.79

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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.