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Finding the Fourth Proportional to 6,274.58, 8,664.68 and 4,040.38

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Solution

The fourth proportional to 6,274.58, 8,664.68 and 4,040.38 is: 5,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.58 : 8,664.68 = 4,040.38 : x
  2. Step 2: Convert to fraction form
    6,274.58/8,664.68 = 4,040.38/x
  3. Step 3: Cross multiply
    6,274.58x = 8,664.68 × 4,040.38
  4. Step 4: Simplify right side
    6,274.58x = 35,008,599.78
  5. Step 5: Solve for x
    x = 35,008,599.78/6,274.58
  6. Step 6: Final answer
    x = 5,579.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.