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Finding the Fourth Proportional to 5,393.00, 8,089.50 and 3,082.88

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Solution

The fourth proportional to 5,393.00, 8,089.50 and 3,082.88 is: 4,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.00 : 8,089.50 = 3,082.88 : x
  2. Step 2: Convert to fraction form
    5,393.00/8,089.50 = 3,082.88/x
  3. Step 3: Cross multiply
    5,393.00x = 8,089.50 × 3,082.88
  4. Step 4: Simplify right side
    5,393.00x = 24,938,917.31
  5. Step 5: Solve for x
    x = 24,938,917.31/5,393.00
  6. Step 6: Final answer
    x = 4,624.32

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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.