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Finding the Fourth Proportional to 5,223.52, 7,835.31 and 1,327.93

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Solution

The fourth proportional to 5,223.52, 7,835.31 and 1,327.93 is: 1,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.52 : 7,835.31 = 1,327.93 : x
  2. Step 2: Convert to fraction form
    5,223.52/7,835.31 = 1,327.93/x
  3. Step 3: Cross multiply
    5,223.52x = 7,835.31 × 1,327.93
  4. Step 4: Simplify right side
    5,223.52x = 10,404,743.21
  5. Step 5: Solve for x
    x = 10,404,743.21/5,223.52
  6. Step 6: Final answer
    x = 1,991.90

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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.