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Finding the Fourth Proportional to 4,083.90, 6,125.91 and 1,162.28

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Solution

The fourth proportional to 4,083.90, 6,125.91 and 1,162.28 is: 1,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.90 : 6,125.91 = 1,162.28 : x
  2. Step 2: Convert to fraction form
    4,083.90/6,125.91 = 1,162.28/x
  3. Step 3: Cross multiply
    4,083.90x = 6,125.91 × 1,162.28
  4. Step 4: Simplify right side
    4,083.90x = 7,119,992.05
  5. Step 5: Solve for x
    x = 7,119,992.05/4,083.90
  6. Step 6: Final answer
    x = 1,743.43

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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.