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Finding the Fourth Proportional to 3,966.31, 5,941.09 and 2,575.50

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Solution

The fourth proportional to 3,966.31, 5,941.09 and 2,575.50 is: 3,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.31 : 5,941.09 = 2,575.50 : x
  2. Step 2: Convert to fraction form
    3,966.31/5,941.09 = 2,575.50/x
  3. Step 3: Cross multiply
    3,966.31x = 5,941.09 × 2,575.50
  4. Step 4: Simplify right side
    3,966.31x = 15,301,277.30
  5. Step 5: Solve for x
    x = 15,301,277.30/3,966.31
  6. Step 6: Final answer
    x = 3,857.81

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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.