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Finding the Fourth Proportional to 6,326.88, 8,731.12 and 3,675.84

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Solution

The fourth proportional to 6,326.88, 8,731.12 and 3,675.84 is: 5,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.88 : 8,731.12 = 3,675.84 : x
  2. Step 2: Convert to fraction form
    6,326.88/8,731.12 = 3,675.84/x
  3. Step 3: Cross multiply
    6,326.88x = 8,731.12 × 3,675.84
  4. Step 4: Simplify right side
    6,326.88x = 32,094,200.14
  5. Step 5: Solve for x
    x = 32,094,200.14/6,326.88
  6. Step 6: Final answer
    x = 5,072.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.