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Finding the Fourth Proportional to 3,824.96, 5,728.32 and 2,359.67

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Solution

The fourth proportional to 3,824.96, 5,728.32 and 2,359.67 is: 3,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.96 : 5,728.32 = 2,359.67 : x
  2. Step 2: Convert to fraction form
    3,824.96/5,728.32 = 2,359.67/x
  3. Step 3: Cross multiply
    3,824.96x = 5,728.32 × 2,359.67
  4. Step 4: Simplify right side
    3,824.96x = 13,516,916.21
  5. Step 5: Solve for x
    x = 13,516,916.21/3,824.96
  6. Step 6: Final answer
    x = 3,533.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.