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Finding the Fourth Proportional to 3,736.98, 5,128.61 and 3,438.90

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Solution

The fourth proportional to 3,736.98, 5,128.61 and 3,438.90 is: 4,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.98 : 5,128.61 = 3,438.90 : x
  2. Step 2: Convert to fraction form
    3,736.98/5,128.61 = 3,438.90/x
  3. Step 3: Cross multiply
    3,736.98x = 5,128.61 × 3,438.90
  4. Step 4: Simplify right side
    3,736.98x = 17,636,759.73
  5. Step 5: Solve for x
    x = 17,636,759.73/3,736.98
  6. Step 6: Final answer
    x = 4,719.52

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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.