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Finding the Fourth Proportional to 3,526.11, 4,866 and 1,954.17

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Solution

The fourth proportional to 3,526.11, 4,866 and 1,954.17 is: 2,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.11 : 4,866 = 1,954.17 : x
  2. Step 2: Convert to fraction form
    3,526.11/4,866 = 1,954.17/x
  3. Step 3: Cross multiply
    3,526.11x = 4,866 × 1,954.17
  4. Step 4: Simplify right side
    3,526.11x = 9,508,991.22
  5. Step 5: Solve for x
    x = 9,508,991.22/3,526.11
  6. Step 6: Final answer
    x = 2,696.74

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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.