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Finding the Fourth Proportional to 5,420.75, 8,131.17 and 1,525.37

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Solution

The fourth proportional to 5,420.75, 8,131.17 and 1,525.37 is: 2,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.75 : 8,131.17 = 1,525.37 : x
  2. Step 2: Convert to fraction form
    5,420.75/8,131.17 = 1,525.37/x
  3. Step 3: Cross multiply
    5,420.75x = 8,131.17 × 1,525.37
  4. Step 4: Simplify right side
    5,420.75x = 12,403,042.78
  5. Step 5: Solve for x
    x = 12,403,042.78/5,420.75
  6. Step 6: Final answer
    x = 2,288.07

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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.