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Finding the Fourth Proportional to 3,401.58, 5,102.46 and 1,757.10

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Solution

The fourth proportional to 3,401.58, 5,102.46 and 1,757.10 is: 2,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.58 : 5,102.46 = 1,757.10 : x
  2. Step 2: Convert to fraction form
    3,401.58/5,102.46 = 1,757.10/x
  3. Step 3: Cross multiply
    3,401.58x = 5,102.46 × 1,757.10
  4. Step 4: Simplify right side
    3,401.58x = 8,965,532.47
  5. Step 5: Solve for x
    x = 8,965,532.47/3,401.58
  6. Step 6: Final answer
    x = 2,635.70

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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.