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Finding the Fourth Proportional to 5,420.94, 8,131.50 and 1,525.44

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Solution

The fourth proportional to 5,420.94, 8,131.50 and 1,525.44 is: 2,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.94 : 8,131.50 = 1,525.44 : x
  2. Step 2: Convert to fraction form
    5,420.94/8,131.50 = 1,525.44/x
  3. Step 3: Cross multiply
    5,420.94x = 8,131.50 × 1,525.44
  4. Step 4: Simplify right side
    5,420.94x = 12,404,115.36
  5. Step 5: Solve for x
    x = 12,404,115.36/5,420.94
  6. Step 6: Final answer
    x = 2,288.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.