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Finding the Fourth Proportional to 5,901.90, 8,146.01 and 3,383.97

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Solution

The fourth proportional to 5,901.90, 8,146.01 and 3,383.97 is: 4,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.90 : 8,146.01 = 3,383.97 : x
  2. Step 2: Convert to fraction form
    5,901.90/8,146.01 = 3,383.97/x
  3. Step 3: Cross multiply
    5,901.90x = 8,146.01 × 3,383.97
  4. Step 4: Simplify right side
    5,901.90x = 27,565,861.92
  5. Step 5: Solve for x
    x = 27,565,861.92/5,901.90
  6. Step 6: Final answer
    x = 4,670.67

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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.