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Finding the Fourth Proportional to 3,564, 4,906.71 and 3,098.07

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Solution

The fourth proportional to 3,564, 4,906.71 and 3,098.07 is: 4,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 4,906.71 = 3,098.07 : x
  2. Step 2: Convert to fraction form
    3,564/4,906.71 = 3,098.07/x
  3. Step 3: Cross multiply
    3,564x = 4,906.71 × 3,098.07
  4. Step 4: Simplify right side
    3,564x = 15,201,331.05
  5. Step 5: Solve for x
    x = 15,201,331.05/3,564
  6. Step 6: Final answer
    x = 4,265.24

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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.