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Finding the Fourth Proportional to 4,719.24, 7,078.69 and 1,209.27

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Solution

The fourth proportional to 4,719.24, 7,078.69 and 1,209.27 is: 1,813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.24 : 7,078.69 = 1,209.27 : x
  2. Step 2: Convert to fraction form
    4,719.24/7,078.69 = 1,209.27/x
  3. Step 3: Cross multiply
    4,719.24x = 7,078.69 × 1,209.27
  4. Step 4: Simplify right side
    4,719.24x = 8,560,047.46
  5. Step 5: Solve for x
    x = 8,560,047.46/4,719.24
  6. Step 6: Final answer
    x = 1,813.86

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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.