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Finding the Fourth Proportional to 5,678.36, 7,836.38 and 3,160.37

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Solution

The fourth proportional to 5,678.36, 7,836.38 and 3,160.37 is: 4,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.36 : 7,836.38 = 3,160.37 : x
  2. Step 2: Convert to fraction form
    5,678.36/7,836.38 = 3,160.37/x
  3. Step 3: Cross multiply
    5,678.36x = 7,836.38 × 3,160.37
  4. Step 4: Simplify right side
    5,678.36x = 24,765,860.26
  5. Step 5: Solve for x
    x = 24,765,860.26/5,678.36
  6. Step 6: Final answer
    x = 4,361.45

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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.