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Finding the Fourth Proportional to 3,637.22, 5,019.32 and 2,065.42

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Solution

The fourth proportional to 3,637.22, 5,019.32 and 2,065.42 is: 2,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.22 : 5,019.32 = 2,065.42 : x
  2. Step 2: Convert to fraction form
    3,637.22/5,019.32 = 2,065.42/x
  3. Step 3: Cross multiply
    3,637.22x = 5,019.32 × 2,065.42
  4. Step 4: Simplify right side
    3,637.22x = 10,366,968.49
  5. Step 5: Solve for x
    x = 10,366,968.49/3,637.22
  6. Step 6: Final answer
    x = 2,850.25

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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.