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Finding the Fourth Proportional to 3,425.41, 4,727.06 and 1,853.50

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Solution

The fourth proportional to 3,425.41, 4,727.06 and 1,853.50 is: 2,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.41 : 4,727.06 = 1,853.50 : x
  2. Step 2: Convert to fraction form
    3,425.41/4,727.06 = 1,853.50/x
  3. Step 3: Cross multiply
    3,425.41x = 4,727.06 × 1,853.50
  4. Step 4: Simplify right side
    3,425.41x = 8,761,586.71
  5. Step 5: Solve for x
    x = 8,761,586.71/3,425.41
  6. Step 6: Final answer
    x = 2,557.83

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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.