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Finding the Fourth Proportional to 3,423.84, 5,108.87 and 3,214.86

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Solution

The fourth proportional to 3,423.84, 5,108.87 and 3,214.86 is: 4,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.84 : 5,108.87 = 3,214.86 : x
  2. Step 2: Convert to fraction form
    3,423.84/5,108.87 = 3,214.86/x
  3. Step 3: Cross multiply
    3,423.84x = 5,108.87 × 3,214.86
  4. Step 4: Simplify right side
    3,423.84x = 16,424,285.73
  5. Step 5: Solve for x
    x = 16,424,285.73/3,423.84
  6. Step 6: Final answer
    x = 4,797.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.