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Finding the Fourth Proportional to 3,259.99, 4,889.89 and 794.77

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Solution

The fourth proportional to 3,259.99, 4,889.89 and 794.77 is: 1,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.99 : 4,889.89 = 794.77 : x
  2. Step 2: Convert to fraction form
    3,259.99/4,889.89 = 794.77/x
  3. Step 3: Cross multiply
    3,259.99x = 4,889.89 × 794.77
  4. Step 4: Simplify right side
    3,259.99x = 3,886,337.88
  5. Step 5: Solve for x
    x = 3,886,337.88/3,259.99
  6. Step 6: Final answer
    x = 1,192.13

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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.