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Finding the Fourth Proportional to 6,274.18, 8,658.38 and 3,441.58

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Solution

The fourth proportional to 6,274.18, 8,658.38 and 3,441.58 is: 4,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.18 : 8,658.38 = 3,441.58 : x
  2. Step 2: Convert to fraction form
    6,274.18/8,658.38 = 3,441.58/x
  3. Step 3: Cross multiply
    6,274.18x = 8,658.38 × 3,441.58
  4. Step 4: Simplify right side
    6,274.18x = 29,798,446.94
  5. Step 5: Solve for x
    x = 29,798,446.94/6,274.18
  6. Step 6: Final answer
    x = 4,749.38

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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.