Home / 3,902.52-5,845.64-1,824.32

Finding the Fourth Proportional to 3,902.52, 5,845.64 and 1,824.32

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Solution

The fourth proportional to 3,902.52, 5,845.64 and 1,824.32 is: 2,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.52 : 5,845.64 = 1,824.32 : x
  2. Step 2: Convert to fraction form
    3,902.52/5,845.64 = 1,824.32/x
  3. Step 3: Cross multiply
    3,902.52x = 5,845.64 × 1,824.32
  4. Step 4: Simplify right side
    3,902.52x = 10,664,317.96
  5. Step 5: Solve for x
    x = 10,664,317.96/3,902.52
  6. Step 6: Final answer
    x = 2,732.67

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Why These Related Problems?

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