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Finding the Fourth Proportional to 7,025.88, 9,695.58 and 3,882

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Solution

The fourth proportional to 7,025.88, 9,695.58 and 3,882 is: 5,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.88 : 9,695.58 = 3,882 : x
  2. Step 2: Convert to fraction form
    7,025.88/9,695.58 = 3,882/x
  3. Step 3: Cross multiply
    7,025.88x = 9,695.58 × 3,882
  4. Step 4: Simplify right side
    7,025.88x = 37,638,241.56
  5. Step 5: Solve for x
    x = 37,638,241.56/7,025.88
  6. Step 6: Final answer
    x = 5,357.09

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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.