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Finding the Fourth Proportional to 3,905.16, 5,836.64 and 3,593.82

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Solution

The fourth proportional to 3,905.16, 5,836.64 and 3,593.82 is: 5,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.16 : 5,836.64 = 3,593.82 : x
  2. Step 2: Convert to fraction form
    3,905.16/5,836.64 = 3,593.82/x
  3. Step 3: Cross multiply
    3,905.16x = 5,836.64 × 3,593.82
  4. Step 4: Simplify right side
    3,905.16x = 20,975,815.60
  5. Step 5: Solve for x
    x = 20,975,815.60/3,905.16
  6. Step 6: Final answer
    x = 5,371.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.