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Finding the Fourth Proportional to 5,807.31, 8,714.91 and 3,828.68

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Solution

The fourth proportional to 5,807.31, 8,714.91 and 3,828.68 is: 5,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.31 : 8,714.91 = 3,828.68 : x
  2. Step 2: Convert to fraction form
    5,807.31/8,714.91 = 3,828.68/x
  3. Step 3: Cross multiply
    5,807.31x = 8,714.91 × 3,828.68
  4. Step 4: Simplify right side
    5,807.31x = 33,366,605.08
  5. Step 5: Solve for x
    x = 33,366,605.08/5,807.31
  6. Step 6: Final answer
    x = 5,745.63

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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.