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Finding the Fourth Proportional to 5,238.30, 7,228.26 and 2,880.30

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Solution

The fourth proportional to 5,238.30, 7,228.26 and 2,880.30 is: 3,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.30 : 7,228.26 = 2,880.30 : x
  2. Step 2: Convert to fraction form
    5,238.30/7,228.26 = 2,880.30/x
  3. Step 3: Cross multiply
    5,238.30x = 7,228.26 × 2,880.30
  4. Step 4: Simplify right side
    5,238.30x = 20,819,557.28
  5. Step 5: Solve for x
    x = 20,819,557.28/5,238.30
  6. Step 6: Final answer
    x = 3,974.49

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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.