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Finding the Fourth Proportional to 5,678.97, 7,836.53 and 3,161.01

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Solution

The fourth proportional to 5,678.97, 7,836.53 and 3,161.01 is: 4,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.97 : 7,836.53 = 3,161.01 : x
  2. Step 2: Convert to fraction form
    5,678.97/7,836.53 = 3,161.01/x
  3. Step 3: Cross multiply
    5,678.97x = 7,836.53 × 3,161.01
  4. Step 4: Simplify right side
    5,678.97x = 24,771,349.70
  5. Step 5: Solve for x
    x = 24,771,349.70/5,678.97
  6. Step 6: Final answer
    x = 4,361.94

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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.