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Finding the Fourth Proportional to 6,851.40, 10,282.02 and 2,958.60

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Solution

The fourth proportional to 6,851.40, 10,282.02 and 2,958.60 is: 4,440.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.40 : 10,282.02 = 2,958.60 : x
  2. Step 2: Convert to fraction form
    6,851.40/10,282.02 = 2,958.60/x
  3. Step 3: Cross multiply
    6,851.40x = 10,282.02 × 2,958.60
  4. Step 4: Simplify right side
    6,851.40x = 30,420,384.37
  5. Step 5: Solve for x
    x = 30,420,384.37/6,851.40
  6. Step 6: Final answer
    x = 4,440.02

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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.