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Finding the Fourth Proportional to 3,401.71, 4,707.85 and 3,319.90

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Solution

The fourth proportional to 3,401.71, 4,707.85 and 3,319.90 is: 4,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.71 : 4,707.85 = 3,319.90 : x
  2. Step 2: Convert to fraction form
    3,401.71/4,707.85 = 3,319.90/x
  3. Step 3: Cross multiply
    3,401.71x = 4,707.85 × 3,319.90
  4. Step 4: Simplify right side
    3,401.71x = 15,629,591.22
  5. Step 5: Solve for x
    x = 15,629,591.22/3,401.71
  6. Step 6: Final answer
    x = 4,594.63

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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.