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Finding the Fourth Proportional to 3,432.89, 4,735.64 and 2,171.84

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Solution

The fourth proportional to 3,432.89, 4,735.64 and 2,171.84 is: 2,996.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.89 : 4,735.64 = 2,171.84 : x
  2. Step 2: Convert to fraction form
    3,432.89/4,735.64 = 2,171.84/x
  3. Step 3: Cross multiply
    3,432.89x = 4,735.64 × 2,171.84
  4. Step 4: Simplify right side
    3,432.89x = 10,285,017.84
  5. Step 5: Solve for x
    x = 10,285,017.84/3,432.89
  6. Step 6: Final answer
    x = 2,996.03

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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.