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Finding the Fourth Proportional to 3,983.35, 5,497 and 2,470.54

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Solution

The fourth proportional to 3,983.35, 5,497 and 2,470.54 is: 3,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.35 : 5,497 = 2,470.54 : x
  2. Step 2: Convert to fraction form
    3,983.35/5,497 = 2,470.54/x
  3. Step 3: Cross multiply
    3,983.35x = 5,497 × 2,470.54
  4. Step 4: Simplify right side
    3,983.35x = 13,580,558.38
  5. Step 5: Solve for x
    x = 13,580,558.38/3,983.35
  6. Step 6: Final answer
    x = 3,409.33

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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.