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Finding the Fourth Proportional to 4,341.98, 5,992.22 and 4,185.14

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Solution

The fourth proportional to 4,341.98, 5,992.22 and 4,185.14 is: 5,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.98 : 5,992.22 = 4,185.14 : x
  2. Step 2: Convert to fraction form
    4,341.98/5,992.22 = 4,185.14/x
  3. Step 3: Cross multiply
    4,341.98x = 5,992.22 × 4,185.14
  4. Step 4: Simplify right side
    4,341.98x = 25,078,260.11
  5. Step 5: Solve for x
    x = 25,078,260.11/4,341.98
  6. Step 6: Final answer
    x = 5,775.76

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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.