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Finding the Fourth Proportional to 3,259.29, 4,889.00 and 794.12

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Solution

The fourth proportional to 3,259.29, 4,889.00 and 794.12 is: 1,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.29 : 4,889.00 = 794.12 : x
  2. Step 2: Convert to fraction form
    3,259.29/4,889.00 = 794.12/x
  3. Step 3: Cross multiply
    3,259.29x = 4,889.00 × 794.12
  4. Step 4: Simplify right side
    3,259.29x = 3,882,466.89
  5. Step 5: Solve for x
    x = 3,882,466.89/3,259.29
  6. Step 6: Final answer
    x = 1,191.20

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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.