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Finding the Fourth Proportional to 3,687.49, 5,526.78 and 1,839.07

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Solution

The fourth proportional to 3,687.49, 5,526.78 and 1,839.07 is: 2,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.49 : 5,526.78 = 1,839.07 : x
  2. Step 2: Convert to fraction form
    3,687.49/5,526.78 = 1,839.07/x
  3. Step 3: Cross multiply
    3,687.49x = 5,526.78 × 1,839.07
  4. Step 4: Simplify right side
    3,687.49x = 10,164,135.29
  5. Step 5: Solve for x
    x = 10,164,135.29/3,687.49
  6. Step 6: Final answer
    x = 2,756.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.