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Finding the Fourth Proportional to 5,734.68, 7,910.10 and 3,375.18

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Solution

The fourth proportional to 5,734.68, 7,910.10 and 3,375.18 is: 4,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.68 : 7,910.10 = 3,375.18 : x
  2. Step 2: Convert to fraction form
    5,734.68/7,910.10 = 3,375.18/x
  3. Step 3: Cross multiply
    5,734.68x = 7,910.10 × 3,375.18
  4. Step 4: Simplify right side
    5,734.68x = 26,698,011.32
  5. Step 5: Solve for x
    x = 26,698,011.32/5,734.68
  6. Step 6: Final answer
    x = 4,655.54

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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.