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Finding the Fourth Proportional to 5,137.20, 7,698.24 and 2,214

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Solution

The fourth proportional to 5,137.20, 7,698.24 and 2,214 is: 3,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.20 : 7,698.24 = 2,214 : x
  2. Step 2: Convert to fraction form
    5,137.20/7,698.24 = 2,214/x
  3. Step 3: Cross multiply
    5,137.20x = 7,698.24 × 2,214
  4. Step 4: Simplify right side
    5,137.20x = 17,043,903.36
  5. Step 5: Solve for x
    x = 17,043,903.36/5,137.20
  6. Step 6: Final answer
    x = 3,317.74

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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.