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Finding the Fourth Proportional to 3,458.40, 5,175.45 and 3,166.80

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Solution

The fourth proportional to 3,458.40, 5,175.45 and 3,166.80 is: 4,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.40 : 5,175.45 = 3,166.80 : x
  2. Step 2: Convert to fraction form
    3,458.40/5,175.45 = 3,166.80/x
  3. Step 3: Cross multiply
    3,458.40x = 5,175.45 × 3,166.80
  4. Step 4: Simplify right side
    3,458.40x = 16,389,615.06
  5. Step 5: Solve for x
    x = 16,389,615.06/3,458.40
  6. Step 6: Final answer
    x = 4,739.07

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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.