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Finding the Fourth Proportional to 4,084.28, 5,636.28 and 2,221.28

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Solution

The fourth proportional to 4,084.28, 5,636.28 and 2,221.28 is: 3,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084.28 : 5,636.28 = 2,221.28 : x
  2. Step 2: Convert to fraction form
    4,084.28/5,636.28 = 2,221.28/x
  3. Step 3: Cross multiply
    4,084.28x = 5,636.28 × 2,221.28
  4. Step 4: Simplify right side
    4,084.28x = 12,519,756.04
  5. Step 5: Solve for x
    x = 12,519,756.04/4,084.28
  6. Step 6: Final answer
    x = 3,065.35

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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.