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Finding the Fourth Proportional to 3,016.54, 4,524.59 and 936.49

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Solution

The fourth proportional to 3,016.54, 4,524.59 and 936.49 is: 1,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.54 : 4,524.59 = 936.49 : x
  2. Step 2: Convert to fraction form
    3,016.54/4,524.59 = 936.49/x
  3. Step 3: Cross multiply
    3,016.54x = 4,524.59 × 936.49
  4. Step 4: Simplify right side
    3,016.54x = 4,237,233.29
  5. Step 5: Solve for x
    x = 4,237,233.29/3,016.54
  6. Step 6: Final answer
    x = 1,404.67

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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.