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Finding the Fourth Proportional to 5,214.88, 7,824.66 and 2,619.64

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Solution

The fourth proportional to 5,214.88, 7,824.66 and 2,619.64 is: 3,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.88 : 7,824.66 = 2,619.64 : x
  2. Step 2: Convert to fraction form
    5,214.88/7,824.66 = 2,619.64/x
  3. Step 3: Cross multiply
    5,214.88x = 7,824.66 × 2,619.64
  4. Step 4: Simplify right side
    5,214.88x = 20,497,792.32
  5. Step 5: Solve for x
    x = 20,497,792.32/5,214.88
  6. Step 6: Final answer
    x = 3,930.64

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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.