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Finding the Fourth Proportional to 5,334.24, 8,000.24 and 1,438.68

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Solution

The fourth proportional to 5,334.24, 8,000.24 and 1,438.68 is: 2,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.24 : 8,000.24 = 1,438.68 : x
  2. Step 2: Convert to fraction form
    5,334.24/8,000.24 = 1,438.68/x
  3. Step 3: Cross multiply
    5,334.24x = 8,000.24 × 1,438.68
  4. Step 4: Simplify right side
    5,334.24x = 11,509,785.28
  5. Step 5: Solve for x
    x = 11,509,785.28/5,334.24
  6. Step 6: Final answer
    x = 2,157.72

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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.