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Finding the Fourth Proportional to 4,336.57, 5,984.01 and 3,202.84

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Solution

The fourth proportional to 4,336.57, 5,984.01 and 3,202.84 is: 4,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.57 : 5,984.01 = 3,202.84 : x
  2. Step 2: Convert to fraction form
    4,336.57/5,984.01 = 3,202.84/x
  3. Step 3: Cross multiply
    4,336.57x = 5,984.01 × 3,202.84
  4. Step 4: Simplify right side
    4,336.57x = 19,165,826.59
  5. Step 5: Solve for x
    x = 19,165,826.59/4,336.57
  6. Step 6: Final answer
    x = 4,419.58

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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.