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Finding the Fourth Proportional to 3,425.50, 4,727.19 and 1,853.61

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Solution

The fourth proportional to 3,425.50, 4,727.19 and 1,853.61 is: 2,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.50 : 4,727.19 = 1,853.61 : x
  2. Step 2: Convert to fraction form
    3,425.50/4,727.19 = 1,853.61/x
  3. Step 3: Cross multiply
    3,425.50x = 4,727.19 × 1,853.61
  4. Step 4: Simplify right side
    3,425.50x = 8,762,343.02
  5. Step 5: Solve for x
    x = 8,762,343.02/3,425.50
  6. Step 6: Final answer
    x = 2,557.97

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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.