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Finding the Fourth Proportional to 6,002.60, 8,995.80 and 4,022.60

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Solution

The fourth proportional to 6,002.60, 8,995.80 and 4,022.60 is: 6,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.60 : 8,995.80 = 4,022.60 : x
  2. Step 2: Convert to fraction form
    6,002.60/8,995.80 = 4,022.60/x
  3. Step 3: Cross multiply
    6,002.60x = 8,995.80 × 4,022.60
  4. Step 4: Simplify right side
    6,002.60x = 36,186,505.08
  5. Step 5: Solve for x
    x = 36,186,505.08/6,002.60
  6. Step 6: Final answer
    x = 6,028.47

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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.