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Finding the Fourth Proportional to 3,874.72, 5,802.52 and 2,027.39

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Solution

The fourth proportional to 3,874.72, 5,802.52 and 2,027.39 is: 3,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.72 : 5,802.52 = 2,027.39 : x
  2. Step 2: Convert to fraction form
    3,874.72/5,802.52 = 2,027.39/x
  3. Step 3: Cross multiply
    3,874.72x = 5,802.52 × 2,027.39
  4. Step 4: Simplify right side
    3,874.72x = 11,763,971.02
  5. Step 5: Solve for x
    x = 11,763,971.02/3,874.72
  6. Step 6: Final answer
    x = 3,036.08

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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.