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Finding the Fourth Proportional to 5,978.63, 8,967.94 and 1,874.63

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Solution

The fourth proportional to 5,978.63, 8,967.94 and 1,874.63 is: 2,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.63 : 8,967.94 = 1,874.63 : x
  2. Step 2: Convert to fraction form
    5,978.63/8,967.94 = 1,874.63/x
  3. Step 3: Cross multiply
    5,978.63x = 8,967.94 × 1,874.63
  4. Step 4: Simplify right side
    5,978.63x = 16,811,519.84
  5. Step 5: Solve for x
    x = 16,811,519.84/5,978.63
  6. Step 6: Final answer
    x = 2,811.94

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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.