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Finding the Fourth Proportional to 3,637.92, 5,019.63 and 2,065.74

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Solution

The fourth proportional to 3,637.92, 5,019.63 and 2,065.74 is: 2,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.92 : 5,019.63 = 2,065.74 : x
  2. Step 2: Convert to fraction form
    3,637.92/5,019.63 = 2,065.74/x
  3. Step 3: Cross multiply
    3,637.92x = 5,019.63 × 2,065.74
  4. Step 4: Simplify right side
    3,637.92x = 10,369,250.48
  5. Step 5: Solve for x
    x = 10,369,250.48/3,637.92
  6. Step 6: Final answer
    x = 2,850.32

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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.