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Finding the Fourth Proportional to 6,689.20, 10,004.64 and 3,909.28

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Solution

The fourth proportional to 6,689.20, 10,004.64 and 3,909.28 is: 5,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.20 : 10,004.64 = 3,909.28 : x
  2. Step 2: Convert to fraction form
    6,689.20/10,004.64 = 3,909.28/x
  3. Step 3: Cross multiply
    6,689.20x = 10,004.64 × 3,909.28
  4. Step 4: Simplify right side
    6,689.20x = 39,110,939.06
  5. Step 5: Solve for x
    x = 39,110,939.06/6,689.20
  6. Step 6: Final answer
    x = 5,846.88

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