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Finding the Fourth Proportional to 5,382.88, 8,027.21 and 5,333.67

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Solution

The fourth proportional to 5,382.88, 8,027.21 and 5,333.67 is: 7,953.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.88 : 8,027.21 = 5,333.67 : x
  2. Step 2: Convert to fraction form
    5,382.88/8,027.21 = 5,333.67/x
  3. Step 3: Cross multiply
    5,382.88x = 8,027.21 × 5,333.67
  4. Step 4: Simplify right side
    5,382.88x = 42,814,502.49
  5. Step 5: Solve for x
    x = 42,814,502.49/5,382.88
  6. Step 6: Final answer
    x = 7,953.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.