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Finding the Fourth Proportional to 5,262.84, 7,891.83 and 1,973.43

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Solution

The fourth proportional to 5,262.84, 7,891.83 and 1,973.43 is: 2,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.84 : 7,891.83 = 1,973.43 : x
  2. Step 2: Convert to fraction form
    5,262.84/7,891.83 = 1,973.43/x
  3. Step 3: Cross multiply
    5,262.84x = 7,891.83 × 1,973.43
  4. Step 4: Simplify right side
    5,262.84x = 15,573,974.08
  5. Step 5: Solve for x
    x = 15,573,974.08/5,262.84
  6. Step 6: Final answer
    x = 2,959.23

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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.