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Finding the Fourth Proportional to 3,484.46, 4,807.89 and 1,992.85

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Solution

The fourth proportional to 3,484.46, 4,807.89 and 1,992.85 is: 2,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.46 : 4,807.89 = 1,992.85 : x
  2. Step 2: Convert to fraction form
    3,484.46/4,807.89 = 1,992.85/x
  3. Step 3: Cross multiply
    3,484.46x = 4,807.89 × 1,992.85
  4. Step 4: Simplify right side
    3,484.46x = 9,581,391.57
  5. Step 5: Solve for x
    x = 9,581,391.57/3,484.46
  6. Step 6: Final answer
    x = 2,749.75

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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.