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Finding the Fourth Proportional to 5,884.20, 8,096.94 and 5,431.32

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Solution

The fourth proportional to 5,884.20, 8,096.94 and 5,431.32 is: 7,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.20 : 8,096.94 = 5,431.32 : x
  2. Step 2: Convert to fraction form
    5,884.20/8,096.94 = 5,431.32/x
  3. Step 3: Cross multiply
    5,884.20x = 8,096.94 × 5,431.32
  4. Step 4: Simplify right side
    5,884.20x = 43,977,072.16
  5. Step 5: Solve for x
    x = 43,977,072.16/5,884.20
  6. Step 6: Final answer
    x = 7,473.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.