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Finding the Fourth Proportional to 5,191, 7,162.50 and 3,512.68

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Solution

The fourth proportional to 5,191, 7,162.50 and 3,512.68 is: 4,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191 : 7,162.50 = 3,512.68 : x
  2. Step 2: Convert to fraction form
    5,191/7,162.50 = 3,512.68/x
  3. Step 3: Cross multiply
    5,191x = 7,162.50 × 3,512.68
  4. Step 4: Simplify right side
    5,191x = 25,159,570.50
  5. Step 5: Solve for x
    x = 25,159,570.50/5,191
  6. Step 6: Final answer
    x = 4,846.77

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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.