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Finding the Fourth Proportional to 5,283.82, 7,291.65 and 2,893.80

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Solution

The fourth proportional to 5,283.82, 7,291.65 and 2,893.80 is: 3,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.82 : 7,291.65 = 2,893.80 : x
  2. Step 2: Convert to fraction form
    5,283.82/7,291.65 = 2,893.80/x
  3. Step 3: Cross multiply
    5,283.82x = 7,291.65 × 2,893.80
  4. Step 4: Simplify right side
    5,283.82x = 21,100,595.00
  5. Step 5: Solve for x
    x = 21,100,595.00/5,283.82
  6. Step 6: Final answer
    x = 3,993.44

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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.