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Finding the Fourth Proportional to 5,992.84, 8,272.29 and 3,634.93

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Solution

The fourth proportional to 5,992.84, 8,272.29 and 3,634.93 is: 5,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.84 : 8,272.29 = 3,634.93 : x
  2. Step 2: Convert to fraction form
    5,992.84/8,272.29 = 3,634.93/x
  3. Step 3: Cross multiply
    5,992.84x = 8,272.29 × 3,634.93
  4. Step 4: Simplify right side
    5,992.84x = 30,069,195.09
  5. Step 5: Solve for x
    x = 30,069,195.09/5,992.84
  6. Step 6: Final answer
    x = 5,017.52

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