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Finding the Fourth Proportional to 5,197.50, 7,793.82 and 1,732.32

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Solution

The fourth proportional to 5,197.50, 7,793.82 and 1,732.32 is: 2,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.50 : 7,793.82 = 1,732.32 : x
  2. Step 2: Convert to fraction form
    5,197.50/7,793.82 = 1,732.32/x
  3. Step 3: Cross multiply
    5,197.50x = 7,793.82 × 1,732.32
  4. Step 4: Simplify right side
    5,197.50x = 13,501,390.26
  5. Step 5: Solve for x
    x = 13,501,390.26/5,197.50
  6. Step 6: Final answer
    x = 2,597.67

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1.5x scale

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.