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Finding the Fourth Proportional to 3,637.96, 5,019.78 and 2,065.48

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Solution

The fourth proportional to 3,637.96, 5,019.78 and 2,065.48 is: 2,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.96 : 5,019.78 = 2,065.48 : x
  2. Step 2: Convert to fraction form
    3,637.96/5,019.78 = 2,065.48/x
  3. Step 3: Cross multiply
    3,637.96x = 5,019.78 × 2,065.48
  4. Step 4: Simplify right side
    3,637.96x = 10,368,255.19
  5. Step 5: Solve for x
    x = 10,368,255.19/3,637.96
  6. Step 6: Final answer
    x = 2,850.02

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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.