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Finding the Fourth Proportional to 4,197.94, 6,265.78 and 3,705.86

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Solution

The fourth proportional to 4,197.94, 6,265.78 and 3,705.86 is: 5,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.94 : 6,265.78 = 3,705.86 : x
  2. Step 2: Convert to fraction form
    4,197.94/6,265.78 = 3,705.86/x
  3. Step 3: Cross multiply
    4,197.94x = 6,265.78 × 3,705.86
  4. Step 4: Simplify right side
    4,197.94x = 23,220,103.47
  5. Step 5: Solve for x
    x = 23,220,103.47/4,197.94
  6. Step 6: Final answer
    x = 5,531.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.