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Finding the Fourth Proportional to 3,259.99, 4,889.99 and 794.83

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Solution

The fourth proportional to 3,259.99, 4,889.99 and 794.83 is: 1,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.99 : 4,889.99 = 794.83 : x
  2. Step 2: Convert to fraction form
    3,259.99/4,889.99 = 794.83/x
  3. Step 3: Cross multiply
    3,259.99x = 4,889.99 × 794.83
  4. Step 4: Simplify right side
    3,259.99x = 3,886,706.78
  5. Step 5: Solve for x
    x = 3,886,706.78/3,259.99
  6. Step 6: Final answer
    x = 1,192.25

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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.