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Finding the Fourth Proportional to 6,108.50, 8,429.76 and 3,314

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Solution

The fourth proportional to 6,108.50, 8,429.76 and 3,314 is: 4,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.50 : 8,429.76 = 3,314 : x
  2. Step 2: Convert to fraction form
    6,108.50/8,429.76 = 3,314/x
  3. Step 3: Cross multiply
    6,108.50x = 8,429.76 × 3,314
  4. Step 4: Simplify right side
    6,108.50x = 27,936,224.64
  5. Step 5: Solve for x
    x = 27,936,224.64/6,108.50
  6. Step 6: Final answer
    x = 4,573.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.