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Finding the Fourth Proportional to 5,797.98, 8,001.27 and 3,145.41

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Solution

The fourth proportional to 5,797.98, 8,001.27 and 3,145.41 is: 4,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.98 : 8,001.27 = 3,145.41 : x
  2. Step 2: Convert to fraction form
    5,797.98/8,001.27 = 3,145.41/x
  3. Step 3: Cross multiply
    5,797.98x = 8,001.27 × 3,145.41
  4. Step 4: Simplify right side
    5,797.98x = 25,167,274.67
  5. Step 5: Solve for x
    x = 25,167,274.67/5,797.98
  6. Step 6: Final answer
    x = 4,340.70

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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.