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Finding the Fourth Proportional to 3,433.60, 5,147.40 and 2,334.40

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Solution

The fourth proportional to 3,433.60, 5,147.40 and 2,334.40 is: 3,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.60 : 5,147.40 = 2,334.40 : x
  2. Step 2: Convert to fraction form
    3,433.60/5,147.40 = 2,334.40/x
  3. Step 3: Cross multiply
    3,433.60x = 5,147.40 × 2,334.40
  4. Step 4: Simplify right side
    3,433.60x = 12,016,090.56
  5. Step 5: Solve for x
    x = 12,016,090.56/3,433.60
  6. Step 6: Final answer
    x = 3,499.56

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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.