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Finding the Fourth Proportional to 4,215.87, 5,817.80 and 2,327.45

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Solution

The fourth proportional to 4,215.87, 5,817.80 and 2,327.45 is: 3,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.87 : 5,817.80 = 2,327.45 : x
  2. Step 2: Convert to fraction form
    4,215.87/5,817.80 = 2,327.45/x
  3. Step 3: Cross multiply
    4,215.87x = 5,817.80 × 2,327.45
  4. Step 4: Simplify right side
    4,215.87x = 13,540,638.61
  5. Step 5: Solve for x
    x = 13,540,638.61/4,215.87
  6. Step 6: Final answer
    x = 3,211.83

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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.