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Finding the Fourth Proportional to 6,274.34, 8,658.69 and 3,621.98

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Solution

The fourth proportional to 6,274.34, 8,658.69 and 3,621.98 is: 4,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.34 : 8,658.69 = 3,621.98 : x
  2. Step 2: Convert to fraction form
    6,274.34/8,658.69 = 3,621.98/x
  3. Step 3: Cross multiply
    6,274.34x = 8,658.69 × 3,621.98
  4. Step 4: Simplify right side
    6,274.34x = 31,361,602.01
  5. Step 5: Solve for x
    x = 31,361,602.01/6,274.34
  6. Step 6: Final answer
    x = 4,998.39

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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.