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Finding the Fourth Proportional to 5,992.64, 8,269.70 and 3,475.19

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Solution

The fourth proportional to 5,992.64, 8,269.70 and 3,475.19 is: 4,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.64 : 8,269.70 = 3,475.19 : x
  2. Step 2: Convert to fraction form
    5,992.64/8,269.70 = 3,475.19/x
  3. Step 3: Cross multiply
    5,992.64x = 8,269.70 × 3,475.19
  4. Step 4: Simplify right side
    5,992.64x = 28,738,720.02
  5. Step 5: Solve for x
    x = 28,738,720.02/5,992.64
  6. Step 6: Final answer
    x = 4,795.67

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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.