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Finding the Fourth Proportional to 4,253.64, 6,382.62 and 2,201.64

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Solution

The fourth proportional to 4,253.64, 6,382.62 and 2,201.64 is: 3,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.64 : 6,382.62 = 2,201.64 : x
  2. Step 2: Convert to fraction form
    4,253.64/6,382.62 = 2,201.64/x
  3. Step 3: Cross multiply
    4,253.64x = 6,382.62 × 2,201.64
  4. Step 4: Simplify right side
    4,253.64x = 14,052,231.50
  5. Step 5: Solve for x
    x = 14,052,231.50/4,253.64
  6. Step 6: Final answer
    x = 3,303.58

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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.