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Finding the Fourth Proportional to 3,425.40, 4,727.00 and 1,853.48

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Solution

The fourth proportional to 3,425.40, 4,727.00 and 1,853.48 is: 2,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.40 : 4,727.00 = 1,853.48 : x
  2. Step 2: Convert to fraction form
    3,425.40/4,727.00 = 1,853.48/x
  3. Step 3: Cross multiply
    3,425.40x = 4,727.00 × 1,853.48
  4. Step 4: Simplify right side
    3,425.40x = 8,761,416.41
  5. Step 5: Solve for x
    x = 8,761,416.41/3,425.40
  6. Step 6: Final answer
    x = 2,557.78

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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.