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Finding the Fourth Proportional to 4,142.34, 6,205.04 and 3,446.77

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Solution

The fourth proportional to 4,142.34, 6,205.04 and 3,446.77 is: 5,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.34 : 6,205.04 = 3,446.77 : x
  2. Step 2: Convert to fraction form
    4,142.34/6,205.04 = 3,446.77/x
  3. Step 3: Cross multiply
    4,142.34x = 6,205.04 × 3,446.77
  4. Step 4: Simplify right side
    4,142.34x = 21,387,345.72
  5. Step 5: Solve for x
    x = 21,387,345.72/4,142.34
  6. Step 6: Final answer
    x = 5,163.11

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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.