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Finding the Fourth Proportional to 4,984.65, 7,477.36 and 1,286.88

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Solution

The fourth proportional to 4,984.65, 7,477.36 and 1,286.88 is: 1,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.65 : 7,477.36 = 1,286.88 : x
  2. Step 2: Convert to fraction form
    4,984.65/7,477.36 = 1,286.88/x
  3. Step 3: Cross multiply
    4,984.65x = 7,477.36 × 1,286.88
  4. Step 4: Simplify right side
    4,984.65x = 9,622,433.78
  5. Step 5: Solve for x
    x = 9,622,433.78/4,984.65
  6. Step 6: Final answer
    x = 1,930.41

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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.