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Finding the Fourth Proportional to 3,933.69, 5,428.04 and 2,255.02

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Solution

The fourth proportional to 3,933.69, 5,428.04 and 2,255.02 is: 3,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.69 : 5,428.04 = 2,255.02 : x
  2. Step 2: Convert to fraction form
    3,933.69/5,428.04 = 2,255.02/x
  3. Step 3: Cross multiply
    3,933.69x = 5,428.04 × 2,255.02
  4. Step 4: Simplify right side
    3,933.69x = 12,240,338.76
  5. Step 5: Solve for x
    x = 12,240,338.76/3,933.69
  6. Step 6: Final answer
    x = 3,111.67

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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.