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Finding the Fourth Proportional to 3,859.43, 5,325.98 and 2,091

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Solution

The fourth proportional to 3,859.43, 5,325.98 and 2,091 is: 2,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.43 : 5,325.98 = 2,091 : x
  2. Step 2: Convert to fraction form
    3,859.43/5,325.98 = 2,091/x
  3. Step 3: Cross multiply
    3,859.43x = 5,325.98 × 2,091
  4. Step 4: Simplify right side
    3,859.43x = 11,136,624.18
  5. Step 5: Solve for x
    x = 11,136,624.18/3,859.43
  6. Step 6: Final answer
    x = 2,885.56

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Why These Related Problems?

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