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Finding the Fourth Proportional to 5,240.84, 7,232.06 and 2,883

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Solution

The fourth proportional to 5,240.84, 7,232.06 and 2,883 is: 3,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.84 : 7,232.06 = 2,883 : x
  2. Step 2: Convert to fraction form
    5,240.84/7,232.06 = 2,883/x
  3. Step 3: Cross multiply
    5,240.84x = 7,232.06 × 2,883
  4. Step 4: Simplify right side
    5,240.84x = 20,850,028.98
  5. Step 5: Solve for x
    x = 20,850,028.98/5,240.84
  6. Step 6: Final answer
    x = 3,978.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.