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Finding the Fourth Proportional to 5,553.39, 7,663.74 and 3,564

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Solution

The fourth proportional to 5,553.39, 7,663.74 and 3,564 is: 4,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,553.39 : 7,663.74 = 3,564 : x
  2. Step 2: Convert to fraction form
    5,553.39/7,663.74 = 3,564/x
  3. Step 3: Cross multiply
    5,553.39x = 7,663.74 × 3,564
  4. Step 4: Simplify right side
    5,553.39x = 27,313,569.36
  5. Step 5: Solve for x
    x = 27,313,569.36/5,553.39
  6. Step 6: Final answer
    x = 4,918.36

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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.