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Finding the Fourth Proportional to 6,317.24, 8,712.23 and 3,798.44

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Solution

The fourth proportional to 6,317.24, 8,712.23 and 3,798.44 is: 5,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.24 : 8,712.23 = 3,798.44 : x
  2. Step 2: Convert to fraction form
    6,317.24/8,712.23 = 3,798.44/x
  3. Step 3: Cross multiply
    6,317.24x = 8,712.23 × 3,798.44
  4. Step 4: Simplify right side
    6,317.24x = 33,092,848.86
  5. Step 5: Solve for x
    x = 33,092,848.86/6,317.24
  6. Step 6: Final answer
    x = 5,238.50

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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.