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Finding the Fourth Proportional to 4,832.84, 6,667.04 and 3,506.06

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Solution

The fourth proportional to 4,832.84, 6,667.04 and 3,506.06 is: 4,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.84 : 6,667.04 = 3,506.06 : x
  2. Step 2: Convert to fraction form
    4,832.84/6,667.04 = 3,506.06/x
  3. Step 3: Cross multiply
    4,832.84x = 6,667.04 × 3,506.06
  4. Step 4: Simplify right side
    4,832.84x = 23,375,042.26
  5. Step 5: Solve for x
    x = 23,375,042.26/4,832.84
  6. Step 6: Final answer
    x = 4,836.71

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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.