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Finding the Fourth Proportional to 5,552.42, 7,662.74 and 3,314.39

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Solution

The fourth proportional to 5,552.42, 7,662.74 and 3,314.39 is: 4,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552.42 : 7,662.74 = 3,314.39 : x
  2. Step 2: Convert to fraction form
    5,552.42/7,662.74 = 3,314.39/x
  3. Step 3: Cross multiply
    5,552.42x = 7,662.74 × 3,314.39
  4. Step 4: Simplify right side
    5,552.42x = 25,397,253.94
  5. Step 5: Solve for x
    x = 25,397,253.94/5,552.42
  6. Step 6: Final answer
    x = 4,574.09

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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.