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Finding the Fourth Proportional to 3,637.46, 5,019.36 and 2,065.26

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Solution

The fourth proportional to 3,637.46, 5,019.36 and 2,065.26 is: 2,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.46 : 5,019.36 = 2,065.26 : x
  2. Step 2: Convert to fraction form
    3,637.46/5,019.36 = 2,065.26/x
  3. Step 3: Cross multiply
    3,637.46x = 5,019.36 × 2,065.26
  4. Step 4: Simplify right side
    3,637.46x = 10,366,283.43
  5. Step 5: Solve for x
    x = 10,366,283.43/3,637.46
  6. Step 6: Final answer
    x = 2,849.87

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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.