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Finding the Fourth Proportional to 4,026.40, 6,032.40 and 3,450.40

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Solution

The fourth proportional to 4,026.40, 6,032.40 and 3,450.40 is: 5,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026.40 : 6,032.40 = 3,450.40 : x
  2. Step 2: Convert to fraction form
    4,026.40/6,032.40 = 3,450.40/x
  3. Step 3: Cross multiply
    4,026.40x = 6,032.40 × 3,450.40
  4. Step 4: Simplify right side
    4,026.40x = 20,814,192.96
  5. Step 5: Solve for x
    x = 20,814,192.96/4,026.40
  6. Step 6: Final answer
    x = 5,169.43

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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.