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Finding the Fourth Proportional to 6,540.54, 9,802.71 and 2,840.46

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Solution

The fourth proportional to 6,540.54, 9,802.71 and 2,840.46 is: 4,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.54 : 9,802.71 = 2,840.46 : x
  2. Step 2: Convert to fraction form
    6,540.54/9,802.71 = 2,840.46/x
  3. Step 3: Cross multiply
    6,540.54x = 9,802.71 × 2,840.46
  4. Step 4: Simplify right side
    6,540.54x = 27,844,205.65
  5. Step 5: Solve for x
    x = 27,844,205.65/6,540.54
  6. Step 6: Final answer
    x = 4,257.17

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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.