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Finding the Fourth Proportional to 5,408.80, 8,102.40 and 3,097.60

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Solution

The fourth proportional to 5,408.80, 8,102.40 and 3,097.60 is: 4,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.80 : 8,102.40 = 3,097.60 : x
  2. Step 2: Convert to fraction form
    5,408.80/8,102.40 = 3,097.60/x
  3. Step 3: Cross multiply
    5,408.80x = 8,102.40 × 3,097.60
  4. Step 4: Simplify right side
    5,408.80x = 25,097,994.24
  5. Step 5: Solve for x
    x = 25,097,994.24/5,408.80
  6. Step 6: Final answer
    x = 4,640.21

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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.