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Finding the Fourth Proportional to 3,092.64, 4,633.56 and 2,575.97

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Solution

The fourth proportional to 3,092.64, 4,633.56 and 2,575.97 is: 3,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.64 : 4,633.56 = 2,575.97 : x
  2. Step 2: Convert to fraction form
    3,092.64/4,633.56 = 2,575.97/x
  3. Step 3: Cross multiply
    3,092.64x = 4,633.56 × 2,575.97
  4. Step 4: Simplify right side
    3,092.64x = 11,935,911.55
  5. Step 5: Solve for x
    x = 11,935,911.55/3,092.64
  6. Step 6: Final answer
    x = 3,859.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.