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Finding the Fourth Proportional to 3,401.54, 5,100.07 and 1,643.07

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Solution

The fourth proportional to 3,401.54, 5,100.07 and 1,643.07 is: 2,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.54 : 5,100.07 = 1,643.07 : x
  2. Step 2: Convert to fraction form
    3,401.54/5,100.07 = 1,643.07/x
  3. Step 3: Cross multiply
    3,401.54x = 5,100.07 × 1,643.07
  4. Step 4: Simplify right side
    3,401.54x = 8,379,742.41
  5. Step 5: Solve for x
    x = 8,379,742.41/3,401.54
  6. Step 6: Final answer
    x = 2,463.51

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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.