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Finding the Fourth Proportional to 4,215.95, 5,817.76 and 2,327.49

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Solution

The fourth proportional to 4,215.95, 5,817.76 and 2,327.49 is: 3,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.95 : 5,817.76 = 2,327.49 : x
  2. Step 2: Convert to fraction form
    4,215.95/5,817.76 = 2,327.49/x
  3. Step 3: Cross multiply
    4,215.95x = 5,817.76 × 2,327.49
  4. Step 4: Simplify right side
    4,215.95x = 13,540,762.59
  5. Step 5: Solve for x
    x = 13,540,762.59/4,215.95
  6. Step 6: Final answer
    x = 3,211.79

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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.