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Finding the Fourth Proportional to 5,828.28, 8,740.28 and 2,540.58

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Solution

The fourth proportional to 5,828.28, 8,740.28 and 2,540.58 is: 3,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.28 : 8,740.28 = 2,540.58 : x
  2. Step 2: Convert to fraction form
    5,828.28/8,740.28 = 2,540.58/x
  3. Step 3: Cross multiply
    5,828.28x = 8,740.28 × 2,540.58
  4. Step 4: Simplify right side
    5,828.28x = 22,205,380.56
  5. Step 5: Solve for x
    x = 22,205,380.56/5,828.28
  6. Step 6: Final answer
    x = 3,809.94

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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.