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Finding the Fourth Proportional to 3,664.00, 5,495.92 and 890.68

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Solution

The fourth proportional to 3,664.00, 5,495.92 and 890.68 is: 1,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.00 : 5,495.92 = 890.68 : x
  2. Step 2: Convert to fraction form
    3,664.00/5,495.92 = 890.68/x
  3. Step 3: Cross multiply
    3,664.00x = 5,495.92 × 890.68
  4. Step 4: Simplify right side
    3,664.00x = 4,895,101.57
  5. Step 5: Solve for x
    x = 4,895,101.57/3,664.00
  6. Step 6: Final answer
    x = 1,336.00

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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.