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Finding the Fourth Proportional to 5,733.98, 7,911.37 and 3,375.66

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Solution

The fourth proportional to 5,733.98, 7,911.37 and 3,375.66 is: 4,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.98 : 7,911.37 = 3,375.66 : x
  2. Step 2: Convert to fraction form
    5,733.98/7,911.37 = 3,375.66/x
  3. Step 3: Cross multiply
    5,733.98x = 7,911.37 × 3,375.66
  4. Step 4: Simplify right side
    5,733.98x = 26,706,095.25
  5. Step 5: Solve for x
    x = 26,706,095.25/5,733.98
  6. Step 6: Final answer
    x = 4,657.51

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1.5x scale

Why These Related Problems?

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