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Finding the Fourth Proportional to 5,978.32, 8,969.97 and 3,204.28

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Solution

The fourth proportional to 5,978.32, 8,969.97 and 3,204.28 is: 4,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.32 : 8,969.97 = 3,204.28 : x
  2. Step 2: Convert to fraction form
    5,978.32/8,969.97 = 3,204.28/x
  3. Step 3: Cross multiply
    5,978.32x = 8,969.97 × 3,204.28
  4. Step 4: Simplify right side
    5,978.32x = 28,742,295.47
  5. Step 5: Solve for x
    x = 28,742,295.47/5,978.32
  6. Step 6: Final answer
    x = 4,807.75

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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.