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Finding the Fourth Proportional to 6,274.31, 8,658.43 and 3,441.74

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Solution

The fourth proportional to 6,274.31, 8,658.43 and 3,441.74 is: 4,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.31 : 8,658.43 = 3,441.74 : x
  2. Step 2: Convert to fraction form
    6,274.31/8,658.43 = 3,441.74/x
  3. Step 3: Cross multiply
    6,274.31x = 8,658.43 × 3,441.74
  4. Step 4: Simplify right side
    6,274.31x = 29,800,064.87
  5. Step 5: Solve for x
    x = 29,800,064.87/6,274.31
  6. Step 6: Final answer
    x = 4,749.54

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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.