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Finding the Fourth Proportional to 4,970.46, 6,854.67 and 3,847.80

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Solution

The fourth proportional to 4,970.46, 6,854.67 and 3,847.80 is: 5,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.46 : 6,854.67 = 3,847.80 : x
  2. Step 2: Convert to fraction form
    4,970.46/6,854.67 = 3,847.80/x
  3. Step 3: Cross multiply
    4,970.46x = 6,854.67 × 3,847.80
  4. Step 4: Simplify right side
    4,970.46x = 26,375,399.23
  5. Step 5: Solve for x
    x = 26,375,399.23/4,970.46
  6. Step 6: Final answer
    x = 5,306.43

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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.