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Finding the Fourth Proportional to 3,636.81, 5,018.90 and 2,065.14

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Solution

The fourth proportional to 3,636.81, 5,018.90 and 2,065.14 is: 2,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.81 : 5,018.90 = 2,065.14 : x
  2. Step 2: Convert to fraction form
    3,636.81/5,018.90 = 2,065.14/x
  3. Step 3: Cross multiply
    3,636.81x = 5,018.90 × 2,065.14
  4. Step 4: Simplify right side
    3,636.81x = 10,364,720.82
  5. Step 5: Solve for x
    x = 10,364,720.82/3,636.81
  6. Step 6: Final answer
    x = 2,849.95

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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.