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Finding the Fourth Proportional to 5,537.70, 7,645.15 and 3,838.68

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Solution

The fourth proportional to 5,537.70, 7,645.15 and 3,838.68 is: 5,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.70 : 7,645.15 = 3,838.68 : x
  2. Step 2: Convert to fraction form
    5,537.70/7,645.15 = 3,838.68/x
  3. Step 3: Cross multiply
    5,537.70x = 7,645.15 × 3,838.68
  4. Step 4: Simplify right side
    5,537.70x = 29,347,284.40
  5. Step 5: Solve for x
    x = 29,347,284.40/5,537.70
  6. Step 6: Final answer
    x = 5,299.54

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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.