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Finding the Fourth Proportional to 3,463.60, 5,194.62 and 1,706.86

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Solution

The fourth proportional to 3,463.60, 5,194.62 and 1,706.86 is: 2,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.60 : 5,194.62 = 1,706.86 : x
  2. Step 2: Convert to fraction form
    3,463.60/5,194.62 = 1,706.86/x
  3. Step 3: Cross multiply
    3,463.60x = 5,194.62 × 1,706.86
  4. Step 4: Simplify right side
    3,463.60x = 8,866,489.09
  5. Step 5: Solve for x
    x = 8,866,489.09/3,463.60
  6. Step 6: Final answer
    x = 2,559.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.