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Finding the Fourth Proportional to 4,236.96, 6,354.60 and 3,420

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Solution

The fourth proportional to 4,236.96, 6,354.60 and 3,420 is: 5,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.96 : 6,354.60 = 3,420 : x
  2. Step 2: Convert to fraction form
    4,236.96/6,354.60 = 3,420/x
  3. Step 3: Cross multiply
    4,236.96x = 6,354.60 × 3,420
  4. Step 4: Simplify right side
    4,236.96x = 21,732,732
  5. Step 5: Solve for x
    x = 21,732,732/4,236.96
  6. Step 6: Final answer
    x = 5,129.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.