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Finding the Fourth Proportional to 5,589.75, 7,714.06 and 3,072.10

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Solution

The fourth proportional to 5,589.75, 7,714.06 and 3,072.10 is: 4,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.75 : 7,714.06 = 3,072.10 : x
  2. Step 2: Convert to fraction form
    5,589.75/7,714.06 = 3,072.10/x
  3. Step 3: Cross multiply
    5,589.75x = 7,714.06 × 3,072.10
  4. Step 4: Simplify right side
    5,589.75x = 23,698,363.73
  5. Step 5: Solve for x
    x = 23,698,363.73/5,589.75
  6. Step 6: Final answer
    x = 4,239.61

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