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Finding the Fourth Proportional to 5,978.24, 8,967.36 and 3,259.52

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Solution

The fourth proportional to 5,978.24, 8,967.36 and 3,259.52 is: 4,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.24 : 8,967.36 = 3,259.52 : x
  2. Step 2: Convert to fraction form
    5,978.24/8,967.36 = 3,259.52/x
  3. Step 3: Cross multiply
    5,978.24x = 8,967.36 × 3,259.52
  4. Step 4: Simplify right side
    5,978.24x = 29,229,289.27
  5. Step 5: Solve for x
    x = 29,229,289.27/5,978.24
  6. Step 6: Final answer
    x = 4,889.28

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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.