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Finding the Fourth Proportional to 3,821.70, 5,274.06 and 2,143.26

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Solution

The fourth proportional to 3,821.70, 5,274.06 and 2,143.26 is: 2,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.70 : 5,274.06 = 2,143.26 : x
  2. Step 2: Convert to fraction form
    3,821.70/5,274.06 = 2,143.26/x
  3. Step 3: Cross multiply
    3,821.70x = 5,274.06 × 2,143.26
  4. Step 4: Simplify right side
    3,821.70x = 11,303,663.91
  5. Step 5: Solve for x
    x = 11,303,663.91/3,821.70
  6. Step 6: Final answer
    x = 2,957.76

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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.