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Finding the Fourth Proportional to 5,232.07, 7,847.24 and 1,722.12

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Solution

The fourth proportional to 5,232.07, 7,847.24 and 1,722.12 is: 2,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.07 : 7,847.24 = 1,722.12 : x
  2. Step 2: Convert to fraction form
    5,232.07/7,847.24 = 1,722.12/x
  3. Step 3: Cross multiply
    5,232.07x = 7,847.24 × 1,722.12
  4. Step 4: Simplify right side
    5,232.07x = 13,513,850.91
  5. Step 5: Solve for x
    x = 13,513,850.91/5,232.07
  6. Step 6: Final answer
    x = 2,582.89

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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.