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Finding the Fourth Proportional to 4,654.80, 6,967.08 and 3,421.98

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Solution

The fourth proportional to 4,654.80, 6,967.08 and 3,421.98 is: 5,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.80 : 6,967.08 = 3,421.98 : x
  2. Step 2: Convert to fraction form
    4,654.80/6,967.08 = 3,421.98/x
  3. Step 3: Cross multiply
    4,654.80x = 6,967.08 × 3,421.98
  4. Step 4: Simplify right side
    4,654.80x = 23,841,208.42
  5. Step 5: Solve for x
    x = 23,841,208.42/4,654.80
  6. Step 6: Final answer
    x = 5,121.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.