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Finding the Fourth Proportional to 4,462.34, 6,689.42 and 2,379.23

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Solution

The fourth proportional to 4,462.34, 6,689.42 and 2,379.23 is: 3,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.34 : 6,689.42 = 2,379.23 : x
  2. Step 2: Convert to fraction form
    4,462.34/6,689.42 = 2,379.23/x
  3. Step 3: Cross multiply
    4,462.34x = 6,689.42 × 2,379.23
  4. Step 4: Simplify right side
    4,462.34x = 15,915,656.85
  5. Step 5: Solve for x
    x = 15,915,656.85/4,462.34
  6. Step 6: Final answer
    x = 3,566.66

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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.