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Finding the Fourth Proportional to 5,138.72, 7,703.62 and 2,502.56

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Solution

The fourth proportional to 5,138.72, 7,703.62 and 2,502.56 is: 3,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.72 : 7,703.62 = 2,502.56 : x
  2. Step 2: Convert to fraction form
    5,138.72/7,703.62 = 2,502.56/x
  3. Step 3: Cross multiply
    5,138.72x = 7,703.62 × 2,502.56
  4. Step 4: Simplify right side
    5,138.72x = 19,278,771.27
  5. Step 5: Solve for x
    x = 19,278,771.27/5,138.72
  6. Step 6: Final answer
    x = 3,751.67

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