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Finding the Fourth Proportional to 4,194.96, 5,779.03 and 2,933.65

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Solution

The fourth proportional to 4,194.96, 5,779.03 and 2,933.65 is: 4,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.96 : 5,779.03 = 2,933.65 : x
  2. Step 2: Convert to fraction form
    4,194.96/5,779.03 = 2,933.65/x
  3. Step 3: Cross multiply
    4,194.96x = 5,779.03 × 2,933.65
  4. Step 4: Simplify right side
    4,194.96x = 16,953,651.36
  5. Step 5: Solve for x
    x = 16,953,651.36/4,194.96
  6. Step 6: Final answer
    x = 4,041.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.