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Finding the Fourth Proportional to 4,629.20, 6,941.28 and 3,170

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Solution

The fourth proportional to 4,629.20, 6,941.28 and 3,170 is: 4,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.20 : 6,941.28 = 3,170 : x
  2. Step 2: Convert to fraction form
    4,629.20/6,941.28 = 3,170/x
  3. Step 3: Cross multiply
    4,629.20x = 6,941.28 × 3,170
  4. Step 4: Simplify right side
    4,629.20x = 22,003,857.60
  5. Step 5: Solve for x
    x = 22,003,857.60/4,629.20
  6. Step 6: Final answer
    x = 4,753.27

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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.