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Finding the Fourth Proportional to 3,658.97, 5,050.50 and 3,166.90

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Solution

The fourth proportional to 3,658.97, 5,050.50 and 3,166.90 is: 4,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.97 : 5,050.50 = 3,166.90 : x
  2. Step 2: Convert to fraction form
    3,658.97/5,050.50 = 3,166.90/x
  3. Step 3: Cross multiply
    3,658.97x = 5,050.50 × 3,166.90
  4. Step 4: Simplify right side
    3,658.97x = 15,994,428.45
  5. Step 5: Solve for x
    x = 15,994,428.45/3,658.97
  6. Step 6: Final answer
    x = 4,371.29

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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.