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Finding the Fourth Proportional to 5,978.80, 8,968.38 and 3,055.24

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Solution

The fourth proportional to 5,978.80, 8,968.38 and 3,055.24 is: 4,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.80 : 8,968.38 = 3,055.24 : x
  2. Step 2: Convert to fraction form
    5,978.80/8,968.38 = 3,055.24/x
  3. Step 3: Cross multiply
    5,978.80x = 8,968.38 × 3,055.24
  4. Step 4: Simplify right side
    5,978.80x = 27,400,553.31
  5. Step 5: Solve for x
    x = 27,400,553.31/5,978.80
  6. Step 6: Final answer
    x = 4,582.95

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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.