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Finding the Fourth Proportional to 6,273.12, 8,656.20 and 3,882

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Solution

The fourth proportional to 6,273.12, 8,656.20 and 3,882 is: 5,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.12 : 8,656.20 = 3,882 : x
  2. Step 2: Convert to fraction form
    6,273.12/8,656.20 = 3,882/x
  3. Step 3: Cross multiply
    6,273.12x = 8,656.20 × 3,882
  4. Step 4: Simplify right side
    6,273.12x = 33,603,368.40
  5. Step 5: Solve for x
    x = 33,603,368.40/6,273.12
  6. Step 6: Final answer
    x = 5,356.72

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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.