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Finding the Fourth Proportional to 5,927.40, 8,891.14 and 1,767.30

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Solution

The fourth proportional to 5,927.40, 8,891.14 and 1,767.30 is: 2,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.40 : 8,891.14 = 1,767.30 : x
  2. Step 2: Convert to fraction form
    5,927.40/8,891.14 = 1,767.30/x
  3. Step 3: Cross multiply
    5,927.40x = 8,891.14 × 1,767.30
  4. Step 4: Simplify right side
    5,927.40x = 15,713,311.72
  5. Step 5: Solve for x
    x = 15,713,311.72/5,927.40
  6. Step 6: Final answer
    x = 2,650.96

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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.