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Finding the Fourth Proportional to 3,978.99, 5,489.37 and 2,562.44

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Solution

The fourth proportional to 3,978.99, 5,489.37 and 2,562.44 is: 3,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.99 : 5,489.37 = 2,562.44 : x
  2. Step 2: Convert to fraction form
    3,978.99/5,489.37 = 2,562.44/x
  3. Step 3: Cross multiply
    3,978.99x = 5,489.37 × 2,562.44
  4. Step 4: Simplify right side
    3,978.99x = 14,066,153.82
  5. Step 5: Solve for x
    x = 14,066,153.82/3,978.99
  6. Step 6: Final answer
    x = 3,535.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.