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Finding the Fourth Proportional to 3,485.94, 5,230.02 and 1,294.98

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Solution

The fourth proportional to 3,485.94, 5,230.02 and 1,294.98 is: 1,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.94 : 5,230.02 = 1,294.98 : x
  2. Step 2: Convert to fraction form
    3,485.94/5,230.02 = 1,294.98/x
  3. Step 3: Cross multiply
    3,485.94x = 5,230.02 × 1,294.98
  4. Step 4: Simplify right side
    3,485.94x = 6,772,771.30
  5. Step 5: Solve for x
    x = 6,772,771.30/3,485.94
  6. Step 6: Final answer
    x = 1,942.88

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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.