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Finding the Fourth Proportional to 5,393, 8,089.49 and 3,082.88

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Solution

The fourth proportional to 5,393, 8,089.49 and 3,082.88 is: 4,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393 : 8,089.49 = 3,082.88 : x
  2. Step 2: Convert to fraction form
    5,393/8,089.49 = 3,082.88/x
  3. Step 3: Cross multiply
    5,393x = 8,089.49 × 3,082.88
  4. Step 4: Simplify right side
    5,393x = 24,938,926.93
  5. Step 5: Solve for x
    x = 24,938,926.93/5,393
  6. Step 6: Final answer
    x = 4,624.31

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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.