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Finding the Fourth Proportional to 3,401.53, 4,694.16 and 2,004.28

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Solution

The fourth proportional to 3,401.53, 4,694.16 and 2,004.28 is: 2,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.53 : 4,694.16 = 2,004.28 : x
  2. Step 2: Convert to fraction form
    3,401.53/4,694.16 = 2,004.28/x
  3. Step 3: Cross multiply
    3,401.53x = 4,694.16 × 2,004.28
  4. Step 4: Simplify right side
    3,401.53x = 9,408,411.00
  5. Step 5: Solve for x
    x = 9,408,411.00/3,401.53
  6. Step 6: Final answer
    x = 2,765.94

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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.