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Finding the Fourth Proportional to 3,401.06, 4,693.22 and 1,909.21

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Solution

The fourth proportional to 3,401.06, 4,693.22 and 1,909.21 is: 2,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.06 : 4,693.22 = 1,909.21 : x
  2. Step 2: Convert to fraction form
    3,401.06/4,693.22 = 1,909.21/x
  3. Step 3: Cross multiply
    3,401.06x = 4,693.22 × 1,909.21
  4. Step 4: Simplify right side
    3,401.06x = 8,960,325.27
  5. Step 5: Solve for x
    x = 8,960,325.27/3,401.06
  6. Step 6: Final answer
    x = 2,634.57

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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.