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Finding the Fourth Proportional to 4,344.96, 5,996 and 2,355.50

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Solution

The fourth proportional to 4,344.96, 5,996 and 2,355.50 is: 3,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.96 : 5,996 = 2,355.50 : x
  2. Step 2: Convert to fraction form
    4,344.96/5,996 = 2,355.50/x
  3. Step 3: Cross multiply
    4,344.96x = 5,996 × 2,355.50
  4. Step 4: Simplify right side
    4,344.96x = 14,123,578
  5. Step 5: Solve for x
    x = 14,123,578/4,344.96
  6. Step 6: Final answer
    x = 3,250.57

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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.