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Finding the Fourth Proportional to 3,663.56, 5,495.34 and 890.22

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Solution

The fourth proportional to 3,663.56, 5,495.34 and 890.22 is: 1,335.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.56 : 5,495.34 = 890.22 : x
  2. Step 2: Convert to fraction form
    3,663.56/5,495.34 = 890.22/x
  3. Step 3: Cross multiply
    3,663.56x = 5,495.34 × 890.22
  4. Step 4: Simplify right side
    3,663.56x = 4,892,061.57
  5. Step 5: Solve for x
    x = 4,892,061.57/3,663.56
  6. Step 6: Final answer
    x = 1,335.33

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1.5x scale

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.