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Finding the Fourth Proportional to 4,206.49, 6,310.02 and 1,244.89

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Solution

The fourth proportional to 4,206.49, 6,310.02 and 1,244.89 is: 1,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.49 : 6,310.02 = 1,244.89 : x
  2. Step 2: Convert to fraction form
    4,206.49/6,310.02 = 1,244.89/x
  3. Step 3: Cross multiply
    4,206.49x = 6,310.02 × 1,244.89
  4. Step 4: Simplify right side
    4,206.49x = 7,855,280.80
  5. Step 5: Solve for x
    x = 7,855,280.80/4,206.49
  6. Step 6: Final answer
    x = 1,867.42

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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.