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Finding the Fourth Proportional to 4,766.70, 7,154.10 and 3,843.30

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Solution

The fourth proportional to 4,766.70, 7,154.10 and 3,843.30 is: 5,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.70 : 7,154.10 = 3,843.30 : x
  2. Step 2: Convert to fraction form
    4,766.70/7,154.10 = 3,843.30/x
  3. Step 3: Cross multiply
    4,766.70x = 7,154.10 × 3,843.30
  4. Step 4: Simplify right side
    4,766.70x = 27,495,352.53
  5. Step 5: Solve for x
    x = 27,495,352.53/4,766.70
  6. Step 6: Final answer
    x = 5,768.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.