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Finding the Fourth Proportional to 5,745.14, 8,598.19 and 3,438.26

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Solution

The fourth proportional to 5,745.14, 8,598.19 and 3,438.26 is: 5,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.14 : 8,598.19 = 3,438.26 : x
  2. Step 2: Convert to fraction form
    5,745.14/8,598.19 = 3,438.26/x
  3. Step 3: Cross multiply
    5,745.14x = 8,598.19 × 3,438.26
  4. Step 4: Simplify right side
    5,745.14x = 29,562,812.75
  5. Step 5: Solve for x
    x = 29,562,812.75/5,745.14
  6. Step 6: Final answer
    x = 5,145.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.