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Finding the Fourth Proportional to 3,613.80, 4,967.70 and 3,257.40

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Solution

The fourth proportional to 3,613.80, 4,967.70 and 3,257.40 is: 4,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.80 : 4,967.70 = 3,257.40 : x
  2. Step 2: Convert to fraction form
    3,613.80/4,967.70 = 3,257.40/x
  3. Step 3: Cross multiply
    3,613.80x = 4,967.70 × 3,257.40
  4. Step 4: Simplify right side
    3,613.80x = 16,181,785.98
  5. Step 5: Solve for x
    x = 16,181,785.98/3,613.80
  6. Step 6: Final answer
    x = 4,477.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.