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Finding the Fourth Proportional to 3,663.36, 5,495.72 and 1,199.91

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Solution

The fourth proportional to 3,663.36, 5,495.72 and 1,199.91 is: 1,800.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.36 : 5,495.72 = 1,199.91 : x
  2. Step 2: Convert to fraction form
    3,663.36/5,495.72 = 1,199.91/x
  3. Step 3: Cross multiply
    3,663.36x = 5,495.72 × 1,199.91
  4. Step 4: Simplify right side
    3,663.36x = 6,594,363.39
  5. Step 5: Solve for x
    x = 6,594,363.39/3,663.36
  6. Step 6: Final answer
    x = 1,800.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.