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Finding the Fourth Proportional to 5,340.54, 7,370.09 and 2,982.83

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Solution

The fourth proportional to 5,340.54, 7,370.09 and 2,982.83 is: 4,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.54 : 7,370.09 = 2,982.83 : x
  2. Step 2: Convert to fraction form
    5,340.54/7,370.09 = 2,982.83/x
  3. Step 3: Cross multiply
    5,340.54x = 7,370.09 × 2,982.83
  4. Step 4: Simplify right side
    5,340.54x = 21,983,725.55
  5. Step 5: Solve for x
    x = 21,983,725.55/5,340.54
  6. Step 6: Final answer
    x = 4,116.39

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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.