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Finding the Fourth Proportional to 3,364.36, 4,643.04 and 2,038.12

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Solution

The fourth proportional to 3,364.36, 4,643.04 and 2,038.12 is: 2,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.36 : 4,643.04 = 2,038.12 : x
  2. Step 2: Convert to fraction form
    3,364.36/4,643.04 = 2,038.12/x
  3. Step 3: Cross multiply
    3,364.36x = 4,643.04 × 2,038.12
  4. Step 4: Simplify right side
    3,364.36x = 9,463,072.68
  5. Step 5: Solve for x
    x = 9,463,072.68/3,364.36
  6. Step 6: Final answer
    x = 2,812.74

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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.