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Finding the Fourth Proportional to 4,297.80, 5,932.26 and 3,120.60

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Solution

The fourth proportional to 4,297.80, 5,932.26 and 3,120.60 is: 4,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.80 : 5,932.26 = 3,120.60 : x
  2. Step 2: Convert to fraction form
    4,297.80/5,932.26 = 3,120.60/x
  3. Step 3: Cross multiply
    4,297.80x = 5,932.26 × 3,120.60
  4. Step 4: Simplify right side
    4,297.80x = 18,512,210.56
  5. Step 5: Solve for x
    x = 18,512,210.56/4,297.80
  6. Step 6: Final answer
    x = 4,307.37

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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.