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Finding the Fourth Proportional to 3,992.07, 5,509.23 and 2,223.68

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Solution

The fourth proportional to 3,992.07, 5,509.23 and 2,223.68 is: 3,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.07 : 5,509.23 = 2,223.68 : x
  2. Step 2: Convert to fraction form
    3,992.07/5,509.23 = 2,223.68/x
  3. Step 3: Cross multiply
    3,992.07x = 5,509.23 × 2,223.68
  4. Step 4: Simplify right side
    3,992.07x = 12,250,757.68
  5. Step 5: Solve for x
    x = 12,250,757.68/3,992.07
  6. Step 6: Final answer
    x = 3,068.77

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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.