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Finding the Fourth Proportional to 5,697, 8,543.44 and 2,410.36

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Solution

The fourth proportional to 5,697, 8,543.44 and 2,410.36 is: 3,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697 : 8,543.44 = 2,410.36 : x
  2. Step 2: Convert to fraction form
    5,697/8,543.44 = 2,410.36/x
  3. Step 3: Cross multiply
    5,697x = 8,543.44 × 2,410.36
  4. Step 4: Simplify right side
    5,697x = 20,592,747.69
  5. Step 5: Solve for x
    x = 20,592,747.69/5,697
  6. Step 6: Final answer
    x = 3,614.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.