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Finding the Fourth Proportional to 6,402.24, 8,833.05 and 3,749.58

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Solution

The fourth proportional to 6,402.24, 8,833.05 and 3,749.58 is: 5,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.24 : 8,833.05 = 3,749.58 : x
  2. Step 2: Convert to fraction form
    6,402.24/8,833.05 = 3,749.58/x
  3. Step 3: Cross multiply
    6,402.24x = 8,833.05 × 3,749.58
  4. Step 4: Simplify right side
    6,402.24x = 33,120,227.62
  5. Step 5: Solve for x
    x = 33,120,227.62/6,402.24
  6. Step 6: Final answer
    x = 5,173.22

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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.