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Finding the Fourth Proportional to 5,266, 7,267.17 and 3,406.24

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Solution

The fourth proportional to 5,266, 7,267.17 and 3,406.24 is: 4,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266 : 7,267.17 = 3,406.24 : x
  2. Step 2: Convert to fraction form
    5,266/7,267.17 = 3,406.24/x
  3. Step 3: Cross multiply
    5,266x = 7,267.17 × 3,406.24
  4. Step 4: Simplify right side
    5,266x = 24,753,725.14
  5. Step 5: Solve for x
    x = 24,753,725.14/5,266
  6. Step 6: Final answer
    x = 4,700.67

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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.