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Finding the Fourth Proportional to 3,486.60, 5,229.96 and 889.56

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Solution

The fourth proportional to 3,486.60, 5,229.96 and 889.56 is: 1,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.60 : 5,229.96 = 889.56 : x
  2. Step 2: Convert to fraction form
    3,486.60/5,229.96 = 889.56/x
  3. Step 3: Cross multiply
    3,486.60x = 5,229.96 × 889.56
  4. Step 4: Simplify right side
    3,486.60x = 4,652,363.22
  5. Step 5: Solve for x
    x = 4,652,363.22/3,486.60
  6. Step 6: Final answer
    x = 1,334.36

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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.