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Finding the Fourth Proportional to 3,782.81, 5,220.28 and 2,126.81

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Solution

The fourth proportional to 3,782.81, 5,220.28 and 2,126.81 is: 2,935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.81 : 5,220.28 = 2,126.81 : x
  2. Step 2: Convert to fraction form
    3,782.81/5,220.28 = 2,126.81/x
  3. Step 3: Cross multiply
    3,782.81x = 5,220.28 × 2,126.81
  4. Step 4: Simplify right side
    3,782.81x = 11,102,559.42
  5. Step 5: Solve for x
    x = 11,102,559.42/3,782.81
  6. Step 6: Final answer
    x = 2,935.00

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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.