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Finding the Fourth Proportional to 3,778.74, 5,205.06 and 3,148.02

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Solution

The fourth proportional to 3,778.74, 5,205.06 and 3,148.02 is: 4,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.74 : 5,205.06 = 3,148.02 : x
  2. Step 2: Convert to fraction form
    3,778.74/5,205.06 = 3,148.02/x
  3. Step 3: Cross multiply
    3,778.74x = 5,205.06 × 3,148.02
  4. Step 4: Simplify right side
    3,778.74x = 16,385,632.98
  5. Step 5: Solve for x
    x = 16,385,632.98/3,778.74
  6. Step 6: Final answer
    x = 4,336.27

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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.