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Finding the Fourth Proportional to 3,766.50, 5,656.23 and 3,423.06

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Solution

The fourth proportional to 3,766.50, 5,656.23 and 3,423.06 is: 5,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.50 : 5,656.23 = 3,423.06 : x
  2. Step 2: Convert to fraction form
    3,766.50/5,656.23 = 3,423.06/x
  3. Step 3: Cross multiply
    3,766.50x = 5,656.23 × 3,423.06
  4. Step 4: Simplify right side
    3,766.50x = 19,361,614.66
  5. Step 5: Solve for x
    x = 19,361,614.66/3,766.50
  6. Step 6: Final answer
    x = 5,140.48

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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.