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Finding the Fourth Proportional to 4,640.42, 6,401.63 and 3,379.46

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Solution

The fourth proportional to 4,640.42, 6,401.63 and 3,379.46 is: 4,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.42 : 6,401.63 = 3,379.46 : x
  2. Step 2: Convert to fraction form
    4,640.42/6,401.63 = 3,379.46/x
  3. Step 3: Cross multiply
    4,640.42x = 6,401.63 × 3,379.46
  4. Step 4: Simplify right side
    4,640.42x = 21,634,028.96
  5. Step 5: Solve for x
    x = 21,634,028.96/4,640.42
  6. Step 6: Final answer
    x = 4,662.08

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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.