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Finding the Fourth Proportional to 5,697.56, 7,850.96 and 4,203.10

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Solution

The fourth proportional to 5,697.56, 7,850.96 and 4,203.10 is: 5,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.56 : 7,850.96 = 4,203.10 : x
  2. Step 2: Convert to fraction form
    5,697.56/7,850.96 = 4,203.10/x
  3. Step 3: Cross multiply
    5,697.56x = 7,850.96 × 4,203.10
  4. Step 4: Simplify right side
    5,697.56x = 32,998,369.98
  5. Step 5: Solve for x
    x = 32,998,369.98/5,697.56
  6. Step 6: Final answer
    x = 5,791.67

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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.