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Finding the Fourth Proportional to 5,685.54, 7,846.06 and 3,295.97

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Solution

The fourth proportional to 5,685.54, 7,846.06 and 3,295.97 is: 4,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.54 : 7,846.06 = 3,295.97 : x
  2. Step 2: Convert to fraction form
    5,685.54/7,846.06 = 3,295.97/x
  3. Step 3: Cross multiply
    5,685.54x = 7,846.06 × 3,295.97
  4. Step 4: Simplify right side
    5,685.54x = 25,860,378.38
  5. Step 5: Solve for x
    x = 25,860,378.38/5,685.54
  6. Step 6: Final answer
    x = 4,548.45

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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.