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Finding the Fourth Proportional to 5,420.74, 8,131.44 and 1,525.48

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Solution

The fourth proportional to 5,420.74, 8,131.44 and 1,525.48 is: 2,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.74 : 8,131.44 = 1,525.48 : x
  2. Step 2: Convert to fraction form
    5,420.74/8,131.44 = 1,525.48/x
  3. Step 3: Cross multiply
    5,420.74x = 8,131.44 × 1,525.48
  4. Step 4: Simplify right side
    5,420.74x = 12,404,349.09
  5. Step 5: Solve for x
    x = 12,404,349.09/5,420.74
  6. Step 6: Final answer
    x = 2,288.31

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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.