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Finding the Fourth Proportional to 6,026.64, 9,040.04 and 3,959.80

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Solution

The fourth proportional to 6,026.64, 9,040.04 and 3,959.80 is: 5,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.64 : 9,040.04 = 3,959.80 : x
  2. Step 2: Convert to fraction form
    6,026.64/9,040.04 = 3,959.80/x
  3. Step 3: Cross multiply
    6,026.64x = 9,040.04 × 3,959.80
  4. Step 4: Simplify right side
    6,026.64x = 35,796,750.39
  5. Step 5: Solve for x
    x = 35,796,750.39/6,026.64
  6. Step 6: Final answer
    x = 5,939.75

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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.