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Finding the Fourth Proportional to 4,251.40, 6,380.70 and 3,430.60

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Solution

The fourth proportional to 4,251.40, 6,380.70 and 3,430.60 is: 5,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.40 : 6,380.70 = 3,430.60 : x
  2. Step 2: Convert to fraction form
    4,251.40/6,380.70 = 3,430.60/x
  3. Step 3: Cross multiply
    4,251.40x = 6,380.70 × 3,430.60
  4. Step 4: Simplify right side
    4,251.40x = 21,889,629.42
  5. Step 5: Solve for x
    x = 21,889,629.42/4,251.40
  6. Step 6: Final answer
    x = 5,148.80

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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.