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Finding the Fourth Proportional to 5,223.05, 7,835.07 and 1,525.31

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Solution

The fourth proportional to 5,223.05, 7,835.07 and 1,525.31 is: 2,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.05 : 7,835.07 = 1,525.31 : x
  2. Step 2: Convert to fraction form
    5,223.05/7,835.07 = 1,525.31/x
  3. Step 3: Cross multiply
    5,223.05x = 7,835.07 × 1,525.31
  4. Step 4: Simplify right side
    5,223.05x = 11,950,891.03
  5. Step 5: Solve for x
    x = 11,950,891.03/5,223.05
  6. Step 6: Final answer
    x = 2,288.11

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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.