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Finding the Fourth Proportional to 3,874.05, 5,810.67 and 2,024.42

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Solution

The fourth proportional to 3,874.05, 5,810.67 and 2,024.42 is: 3,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.05 : 5,810.67 = 2,024.42 : x
  2. Step 2: Convert to fraction form
    3,874.05/5,810.67 = 2,024.42/x
  3. Step 3: Cross multiply
    3,874.05x = 5,810.67 × 2,024.42
  4. Step 4: Simplify right side
    3,874.05x = 11,763,207.51
  5. Step 5: Solve for x
    x = 11,763,207.51/3,874.05
  6. Step 6: Final answer
    x = 3,036.41

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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.