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Finding the Fourth Proportional to 6,271.50, 8,654.97 and 3,477

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Solution

The fourth proportional to 6,271.50, 8,654.97 and 3,477 is: 4,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.50 : 8,654.97 = 3,477 : x
  2. Step 2: Convert to fraction form
    6,271.50/8,654.97 = 3,477/x
  3. Step 3: Cross multiply
    6,271.50x = 8,654.97 × 3,477
  4. Step 4: Simplify right side
    6,271.50x = 30,093,330.69
  5. Step 5: Solve for x
    x = 30,093,330.69/6,271.50
  6. Step 6: Final answer
    x = 4,798.43

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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.