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Finding the Fourth Proportional to 6,271.68, 8,654.80 and 3,438.92

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Solution

The fourth proportional to 6,271.68, 8,654.80 and 3,438.92 is: 4,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.68 : 8,654.80 = 3,438.92 : x
  2. Step 2: Convert to fraction form
    6,271.68/8,654.80 = 3,438.92/x
  3. Step 3: Cross multiply
    6,271.68x = 8,654.80 × 3,438.92
  4. Step 4: Simplify right side
    6,271.68x = 29,763,184.30
  5. Step 5: Solve for x
    x = 29,763,184.30/6,271.68
  6. Step 6: Final answer
    x = 4,745.65

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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.