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Finding the Fourth Proportional to 4,602, 6,899.34 and 2,651.92

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Solution

The fourth proportional to 4,602, 6,899.34 and 2,651.92 is: 3,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602 : 6,899.34 = 2,651.92 : x
  2. Step 2: Convert to fraction form
    4,602/6,899.34 = 2,651.92/x
  3. Step 3: Cross multiply
    4,602x = 6,899.34 × 2,651.92
  4. Step 4: Simplify right side
    4,602x = 18,296,497.73
  5. Step 5: Solve for x
    x = 18,296,497.73/4,602
  6. Step 6: Final answer
    x = 3,975.77

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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.