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Finding the Fourth Proportional to 5,596.11, 7,722.47 and 3,078.22

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Solution

The fourth proportional to 5,596.11, 7,722.47 and 3,078.22 is: 4,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.11 : 7,722.47 = 3,078.22 : x
  2. Step 2: Convert to fraction form
    5,596.11/7,722.47 = 3,078.22/x
  3. Step 3: Cross multiply
    5,596.11x = 7,722.47 × 3,078.22
  4. Step 4: Simplify right side
    5,596.11x = 23,771,449.99
  5. Step 5: Solve for x
    x = 23,771,449.99/5,596.11
  6. Step 6: Final answer
    x = 4,247.85

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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.