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Finding the Fourth Proportional to 5,978.54, 8,967.80 and 2,082.94

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Solution

The fourth proportional to 5,978.54, 8,967.80 and 2,082.94 is: 3,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.54 : 8,967.80 = 2,082.94 : x
  2. Step 2: Convert to fraction form
    5,978.54/8,967.80 = 2,082.94/x
  3. Step 3: Cross multiply
    5,978.54x = 8,967.80 × 2,082.94
  4. Step 4: Simplify right side
    5,978.54x = 18,679,372.12
  5. Step 5: Solve for x
    x = 18,679,372.12/5,978.54
  6. Step 6: Final answer
    x = 3,124.40

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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.