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Finding the Fourth Proportional to 3,663.00, 5,495.37 and 1,197.81

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Solution

The fourth proportional to 3,663.00, 5,495.37 and 1,197.81 is: 1,797.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.00 : 5,495.37 = 1,197.81 : x
  2. Step 2: Convert to fraction form
    3,663.00/5,495.37 = 1,197.81/x
  3. Step 3: Cross multiply
    3,663.00x = 5,495.37 × 1,197.81
  4. Step 4: Simplify right side
    3,663.00x = 6,582,429.75
  5. Step 5: Solve for x
    x = 6,582,429.75/3,663.00
  6. Step 6: Final answer
    x = 1,797.00

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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.