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Finding the Fourth Proportional to 4,161.60, 6,209.80 and 4,137.30

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Solution

The fourth proportional to 4,161.60, 6,209.80 and 4,137.30 is: 6,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.60 : 6,209.80 = 4,137.30 : x
  2. Step 2: Convert to fraction form
    4,161.60/6,209.80 = 4,137.30/x
  3. Step 3: Cross multiply
    4,161.60x = 6,209.80 × 4,137.30
  4. Step 4: Simplify right side
    4,161.60x = 25,691,795.20
  5. Step 5: Solve for x
    x = 25,691,795.20/4,161.60
  6. Step 6: Final answer
    x = 6,173.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.