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Finding the Fourth Proportional to 3,881, 5,822.62 and 1,145

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Solution

The fourth proportional to 3,881, 5,822.62 and 1,145 is: 1,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881 : 5,822.62 = 1,145 : x
  2. Step 2: Convert to fraction form
    3,881/5,822.62 = 1,145/x
  3. Step 3: Cross multiply
    3,881x = 5,822.62 × 1,145
  4. Step 4: Simplify right side
    3,881x = 6,666,899.90
  5. Step 5: Solve for x
    x = 6,666,899.90/3,881
  6. Step 6: Final answer
    x = 1,717.83

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Why These Related Problems?

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