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Finding the Fourth Proportional to 4,369.28, 6,546.62 and 3,068.42

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Solution

The fourth proportional to 4,369.28, 6,546.62 and 3,068.42 is: 4,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369.28 : 6,546.62 = 3,068.42 : x
  2. Step 2: Convert to fraction form
    4,369.28/6,546.62 = 3,068.42/x
  3. Step 3: Cross multiply
    4,369.28x = 6,546.62 × 3,068.42
  4. Step 4: Simplify right side
    4,369.28x = 20,087,754.68
  5. Step 5: Solve for x
    x = 20,087,754.68/4,369.28
  6. Step 6: Final answer
    x = 4,597.50

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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.