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Finding the Fourth Proportional to 3,354.70, 4,634 and 2,578.45

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Solution

The fourth proportional to 3,354.70, 4,634 and 2,578.45 is: 3,561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.70 : 4,634 = 2,578.45 : x
  2. Step 2: Convert to fraction form
    3,354.70/4,634 = 2,578.45/x
  3. Step 3: Cross multiply
    3,354.70x = 4,634 × 2,578.45
  4. Step 4: Simplify right side
    3,354.70x = 11,948,537.30
  5. Step 5: Solve for x
    x = 11,948,537.30/3,354.70
  6. Step 6: Final answer
    x = 3,561.73

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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.