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Finding the Fourth Proportional to 6,271.46, 8,654.48 and 3,438.76

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Solution

The fourth proportional to 6,271.46, 8,654.48 and 3,438.76 is: 4,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.46 : 8,654.48 = 3,438.76 : x
  2. Step 2: Convert to fraction form
    6,271.46/8,654.48 = 3,438.76/x
  3. Step 3: Cross multiply
    6,271.46x = 8,654.48 × 3,438.76
  4. Step 4: Simplify right side
    6,271.46x = 29,760,679.64
  5. Step 5: Solve for x
    x = 29,760,679.64/6,271.46
  6. Step 6: Final answer
    x = 4,745.41

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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.