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Finding the Fourth Proportional to 4,778.47, 6,584.57 and 3,659.41

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Solution

The fourth proportional to 4,778.47, 6,584.57 and 3,659.41 is: 5,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.47 : 6,584.57 = 3,659.41 : x
  2. Step 2: Convert to fraction form
    4,778.47/6,584.57 = 3,659.41/x
  3. Step 3: Cross multiply
    4,778.47x = 6,584.57 × 3,659.41
  4. Step 4: Simplify right side
    4,778.47x = 24,095,623.01
  5. Step 5: Solve for x
    x = 24,095,623.01/4,778.47
  6. Step 6: Final answer
    x = 5,042.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.