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Finding the Fourth Proportional to 5,223.99, 7,835.58 and 1,328.31

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Solution

The fourth proportional to 5,223.99, 7,835.58 and 1,328.31 is: 1,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.99 : 7,835.58 = 1,328.31 : x
  2. Step 2: Convert to fraction form
    5,223.99/7,835.58 = 1,328.31/x
  3. Step 3: Cross multiply
    5,223.99x = 7,835.58 × 1,328.31
  4. Step 4: Simplify right side
    5,223.99x = 10,408,079.27
  5. Step 5: Solve for x
    x = 10,408,079.27/5,223.99
  6. Step 6: Final answer
    x = 1,992.36

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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.