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Finding the Fourth Proportional to 4,083.56, 6,124.24 and 1,162

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Solution

The fourth proportional to 4,083.56, 6,124.24 and 1,162 is: 1,742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.56 : 6,124.24 = 1,162 : x
  2. Step 2: Convert to fraction form
    4,083.56/6,124.24 = 1,162/x
  3. Step 3: Cross multiply
    4,083.56x = 6,124.24 × 1,162
  4. Step 4: Simplify right side
    4,083.56x = 7,116,366.88
  5. Step 5: Solve for x
    x = 7,116,366.88/4,083.56
  6. Step 6: Final answer
    x = 1,742.69

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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.