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Finding the Fourth Proportional to 4,187.35, 5,764.03 and 3,619.92

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Solution

The fourth proportional to 4,187.35, 5,764.03 and 3,619.92 is: 4,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.35 : 5,764.03 = 3,619.92 : x
  2. Step 2: Convert to fraction form
    4,187.35/5,764.03 = 3,619.92/x
  3. Step 3: Cross multiply
    4,187.35x = 5,764.03 × 3,619.92
  4. Step 4: Simplify right side
    4,187.35x = 20,865,327.48
  5. Step 5: Solve for x
    x = 20,865,327.48/4,187.35
  6. Step 6: Final answer
    x = 4,982.94

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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.