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Finding the Fourth Proportional to 3,637.44, 5,019.91 and 2,065.84

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Solution

The fourth proportional to 3,637.44, 5,019.91 and 2,065.84 is: 2,850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.44 : 5,019.91 = 2,065.84 : x
  2. Step 2: Convert to fraction form
    3,637.44/5,019.91 = 2,065.84/x
  3. Step 3: Cross multiply
    3,637.44x = 5,019.91 × 2,065.84
  4. Step 4: Simplify right side
    3,637.44x = 10,370,313.16
  5. Step 5: Solve for x
    x = 10,370,313.16/3,637.44
  6. Step 6: Final answer
    x = 2,850.99

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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.