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Finding the Fourth Proportional to 5,984.78, 8,978.62 and 2,036

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Solution

The fourth proportional to 5,984.78, 8,978.62 and 2,036 is: 3,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.78 : 8,978.62 = 2,036 : x
  2. Step 2: Convert to fraction form
    5,984.78/8,978.62 = 2,036/x
  3. Step 3: Cross multiply
    5,984.78x = 8,978.62 × 2,036
  4. Step 4: Simplify right side
    5,984.78x = 18,280,470.32
  5. Step 5: Solve for x
    x = 18,280,470.32/5,984.78
  6. Step 6: Final answer
    x = 3,054.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.