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Finding the Fourth Proportional to 3,401.58, 4,694.10 and 1,909.56

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Solution

The fourth proportional to 3,401.58, 4,694.10 and 1,909.56 is: 2,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.58 : 4,694.10 = 1,909.56 : x
  2. Step 2: Convert to fraction form
    3,401.58/4,694.10 = 1,909.56/x
  3. Step 3: Cross multiply
    3,401.58x = 4,694.10 × 1,909.56
  4. Step 4: Simplify right side
    3,401.58x = 8,963,665.60
  5. Step 5: Solve for x
    x = 8,963,665.60/3,401.58
  6. Step 6: Final answer
    x = 2,635.15

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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.