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Finding the Fourth Proportional to 5,297.50, 7,941.08 and 2,523.42

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Solution

The fourth proportional to 5,297.50, 7,941.08 and 2,523.42 is: 3,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.50 : 7,941.08 = 2,523.42 : x
  2. Step 2: Convert to fraction form
    5,297.50/7,941.08 = 2,523.42/x
  3. Step 3: Cross multiply
    5,297.50x = 7,941.08 × 2,523.42
  4. Step 4: Simplify right side
    5,297.50x = 20,038,680.09
  5. Step 5: Solve for x
    x = 20,038,680.09/5,297.50
  6. Step 6: Final answer
    x = 3,782.67

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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.