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Finding the Fourth Proportional to 3,969.06, 5,901.63 and 3,802.97

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Solution

The fourth proportional to 3,969.06, 5,901.63 and 3,802.97 is: 5,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.06 : 5,901.63 = 3,802.97 : x
  2. Step 2: Convert to fraction form
    3,969.06/5,901.63 = 3,802.97/x
  3. Step 3: Cross multiply
    3,969.06x = 5,901.63 × 3,802.97
  4. Step 4: Simplify right side
    3,969.06x = 22,443,721.84
  5. Step 5: Solve for x
    x = 22,443,721.84/3,969.06
  6. Step 6: Final answer
    x = 5,654.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.