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Finding the Fourth Proportional to 4,235.46, 5,845.04 and 3,171.35

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Solution

The fourth proportional to 4,235.46, 5,845.04 and 3,171.35 is: 4,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.46 : 5,845.04 = 3,171.35 : x
  2. Step 2: Convert to fraction form
    4,235.46/5,845.04 = 3,171.35/x
  3. Step 3: Cross multiply
    4,235.46x = 5,845.04 × 3,171.35
  4. Step 4: Simplify right side
    4,235.46x = 18,536,667.60
  5. Step 5: Solve for x
    x = 18,536,667.60/4,235.46
  6. Step 6: Final answer
    x = 4,376.54

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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.