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Finding the Fourth Proportional to 3,764.80, 5,197.26 and 2,506.60

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Solution

The fourth proportional to 3,764.80, 5,197.26 and 2,506.60 is: 3,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.80 : 5,197.26 = 2,506.60 : x
  2. Step 2: Convert to fraction form
    3,764.80/5,197.26 = 2,506.60/x
  3. Step 3: Cross multiply
    3,764.80x = 5,197.26 × 2,506.60
  4. Step 4: Simplify right side
    3,764.80x = 13,027,451.92
  5. Step 5: Solve for x
    x = 13,027,451.92/3,764.80
  6. Step 6: Final answer
    x = 3,460.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.