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Finding the Fourth Proportional to 5,678.60, 7,836.02 and 3,160.64

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Solution

The fourth proportional to 5,678.60, 7,836.02 and 3,160.64 is: 4,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.60 : 7,836.02 = 3,160.64 : x
  2. Step 2: Convert to fraction form
    5,678.60/7,836.02 = 3,160.64/x
  3. Step 3: Cross multiply
    5,678.60x = 7,836.02 × 3,160.64
  4. Step 4: Simplify right side
    5,678.60x = 24,766,838.25
  5. Step 5: Solve for x
    x = 24,766,838.25/5,678.60
  6. Step 6: Final answer
    x = 4,361.43

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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.