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Finding the Fourth Proportional to 6,274.42, 8,658.54 and 3,622.27

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Solution

The fourth proportional to 6,274.42, 8,658.54 and 3,622.27 is: 4,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.42 : 8,658.54 = 3,622.27 : x
  2. Step 2: Convert to fraction form
    6,274.42/8,658.54 = 3,622.27/x
  3. Step 3: Cross multiply
    6,274.42x = 8,658.54 × 3,622.27
  4. Step 4: Simplify right side
    6,274.42x = 31,363,569.69
  5. Step 5: Solve for x
    x = 31,363,569.69/6,274.42
  6. Step 6: Final answer
    x = 4,998.64

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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.