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Finding the Fourth Proportional to 5,238, 7,228.44 and 2,880.36

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Solution

The fourth proportional to 5,238, 7,228.44 and 2,880.36 is: 3,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238 : 7,228.44 = 2,880.36 : x
  2. Step 2: Convert to fraction form
    5,238/7,228.44 = 2,880.36/x
  3. Step 3: Cross multiply
    5,238x = 7,228.44 × 2,880.36
  4. Step 4: Simplify right side
    5,238x = 20,820,509.44
  5. Step 5: Solve for x
    x = 20,820,509.44/5,238
  6. Step 6: Final answer
    x = 3,974.90

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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.