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Finding the Fourth Proportional to 5,238.43, 7,852.81 and 2,275

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Solution

The fourth proportional to 5,238.43, 7,852.81 and 2,275 is: 3,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.43 : 7,852.81 = 2,275 : x
  2. Step 2: Convert to fraction form
    5,238.43/7,852.81 = 2,275/x
  3. Step 3: Cross multiply
    5,238.43x = 7,852.81 × 2,275
  4. Step 4: Simplify right side
    5,238.43x = 17,865,142.75
  5. Step 5: Solve for x
    x = 17,865,142.75/5,238.43
  6. Step 6: Final answer
    x = 3,410.40

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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.