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Finding the Fourth Proportional to 3,583.81, 4,945.79 and 1,990.49

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Solution

The fourth proportional to 3,583.81, 4,945.79 and 1,990.49 is: 2,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.81 : 4,945.79 = 1,990.49 : x
  2. Step 2: Convert to fraction form
    3,583.81/4,945.79 = 1,990.49/x
  3. Step 3: Cross multiply
    3,583.81x = 4,945.79 × 1,990.49
  4. Step 4: Simplify right side
    3,583.81x = 9,844,513.34
  5. Step 5: Solve for x
    x = 9,844,513.34/3,583.81
  6. Step 6: Final answer
    x = 2,746.94

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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.