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Finding the Fourth Proportional to 3,422.83, 4,705.56 and 3,401.77

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Solution

The fourth proportional to 3,422.83, 4,705.56 and 3,401.77 is: 4,676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.83 : 4,705.56 = 3,401.77 : x
  2. Step 2: Convert to fraction form
    3,422.83/4,705.56 = 3,401.77/x
  3. Step 3: Cross multiply
    3,422.83x = 4,705.56 × 3,401.77
  4. Step 4: Simplify right side
    3,422.83x = 16,007,232.84
  5. Step 5: Solve for x
    x = 16,007,232.84/3,422.83
  6. Step 6: Final answer
    x = 4,676.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.