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Finding the Fourth Proportional to 3,841.28, 5,300.94 and 2,185.28

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Solution

The fourth proportional to 3,841.28, 5,300.94 and 2,185.28 is: 3,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.28 : 5,300.94 = 2,185.28 : x
  2. Step 2: Convert to fraction form
    3,841.28/5,300.94 = 2,185.28/x
  3. Step 3: Cross multiply
    3,841.28x = 5,300.94 × 2,185.28
  4. Step 4: Simplify right side
    3,841.28x = 11,584,038.16
  5. Step 5: Solve for x
    x = 11,584,038.16/3,841.28
  6. Step 6: Final answer
    x = 3,015.67

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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.