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Finding the Fourth Proportional to 5,223.83, 7,835.69 and 1,328.22

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Solution

The fourth proportional to 5,223.83, 7,835.69 and 1,328.22 is: 1,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.83 : 7,835.69 = 1,328.22 : x
  2. Step 2: Convert to fraction form
    5,223.83/7,835.69 = 1,328.22/x
  3. Step 3: Cross multiply
    5,223.83x = 7,835.69 × 1,328.22
  4. Step 4: Simplify right side
    5,223.83x = 10,407,523.49
  5. Step 5: Solve for x
    x = 10,407,523.49/5,223.83
  6. Step 6: Final answer
    x = 1,992.32

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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.