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Finding the Fourth Proportional to 3,662.91, 5,495.04 and 1,197.87

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Solution

The fourth proportional to 3,662.91, 5,495.04 and 1,197.87 is: 1,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.91 : 5,495.04 = 1,197.87 : x
  2. Step 2: Convert to fraction form
    3,662.91/5,495.04 = 1,197.87/x
  3. Step 3: Cross multiply
    3,662.91x = 5,495.04 × 1,197.87
  4. Step 4: Simplify right side
    3,662.91x = 6,582,322.96
  5. Step 5: Solve for x
    x = 6,582,322.96/3,662.91
  6. Step 6: Final answer
    x = 1,797.02

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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.