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Finding the Fourth Proportional to 5,369.75, 7,408.46 and 3,245.93

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Solution

The fourth proportional to 5,369.75, 7,408.46 and 3,245.93 is: 4,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.75 : 7,408.46 = 3,245.93 : x
  2. Step 2: Convert to fraction form
    5,369.75/7,408.46 = 3,245.93/x
  3. Step 3: Cross multiply
    5,369.75x = 7,408.46 × 3,245.93
  4. Step 4: Simplify right side
    5,369.75x = 24,047,313.64
  5. Step 5: Solve for x
    x = 24,047,313.64/5,369.75
  6. Step 6: Final answer
    x = 4,478.30

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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.