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Finding the Fourth Proportional to 5,265.44, 7,891.68 and 1,975.04

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Solution

The fourth proportional to 5,265.44, 7,891.68 and 1,975.04 is: 2,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.44 : 7,891.68 = 1,975.04 : x
  2. Step 2: Convert to fraction form
    5,265.44/7,891.68 = 1,975.04/x
  3. Step 3: Cross multiply
    5,265.44x = 7,891.68 × 1,975.04
  4. Step 4: Simplify right side
    5,265.44x = 15,586,383.67
  5. Step 5: Solve for x
    x = 15,586,383.67/5,265.44
  6. Step 6: Final answer
    x = 2,960.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.