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Finding the Fourth Proportional to 3,663.68, 5,495.45 and 890.37

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Solution

The fourth proportional to 3,663.68, 5,495.45 and 890.37 is: 1,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.68 : 5,495.45 = 890.37 : x
  2. Step 2: Convert to fraction form
    3,663.68/5,495.45 = 890.37/x
  3. Step 3: Cross multiply
    3,663.68x = 5,495.45 × 890.37
  4. Step 4: Simplify right side
    3,663.68x = 4,892,979.36
  5. Step 5: Solve for x
    x = 4,892,979.36/3,663.68
  6. Step 6: Final answer
    x = 1,335.54

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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.