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Finding the Fourth Proportional to 4,084, 5,636.88 and 2,428.96

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Solution

The fourth proportional to 4,084, 5,636.88 and 2,428.96 is: 3,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084 : 5,636.88 = 2,428.96 : x
  2. Step 2: Convert to fraction form
    4,084/5,636.88 = 2,428.96/x
  3. Step 3: Cross multiply
    4,084x = 5,636.88 × 2,428.96
  4. Step 4: Simplify right side
    4,084x = 13,691,756.04
  5. Step 5: Solve for x
    x = 13,691,756.04/4,084
  6. Step 6: Final answer
    x = 3,352.54

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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.