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Finding the Fourth Proportional to 4,606.57, 6,911.22 and 2,142.85

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Solution

The fourth proportional to 4,606.57, 6,911.22 and 2,142.85 is: 3,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.57 : 6,911.22 = 2,142.85 : x
  2. Step 2: Convert to fraction form
    4,606.57/6,911.22 = 2,142.85/x
  3. Step 3: Cross multiply
    4,606.57x = 6,911.22 × 2,142.85
  4. Step 4: Simplify right side
    4,606.57x = 14,809,707.78
  5. Step 5: Solve for x
    x = 14,809,707.78/4,606.57
  6. Step 6: Final answer
    x = 3,214.91

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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.