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Finding the Fourth Proportional to 5,574, 8,361.12 and 3,108.48

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Solution

The fourth proportional to 5,574, 8,361.12 and 3,108.48 is: 4,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574 : 8,361.12 = 3,108.48 : x
  2. Step 2: Convert to fraction form
    5,574/8,361.12 = 3,108.48/x
  3. Step 3: Cross multiply
    5,574x = 8,361.12 × 3,108.48
  4. Step 4: Simplify right side
    5,574x = 25,990,374.30
  5. Step 5: Solve for x
    x = 25,990,374.30/5,574
  6. Step 6: Final answer
    x = 4,662.79

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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.