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Finding the Fourth Proportional to 3,365, 4,644.30 and 3,217.40

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Solution

The fourth proportional to 3,365, 4,644.30 and 3,217.40 is: 4,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365 : 4,644.30 = 3,217.40 : x
  2. Step 2: Convert to fraction form
    3,365/4,644.30 = 3,217.40/x
  3. Step 3: Cross multiply
    3,365x = 4,644.30 × 3,217.40
  4. Step 4: Simplify right side
    3,365x = 14,942,570.82
  5. Step 5: Solve for x
    x = 14,942,570.82/3,365
  6. Step 6: Final answer
    x = 4,440.59

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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.