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Finding the Fourth Proportional to 5,734.86, 7,914.63 and 3,496.86

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Solution

The fourth proportional to 5,734.86, 7,914.63 and 3,496.86 is: 4,825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.86 : 7,914.63 = 3,496.86 : x
  2. Step 2: Convert to fraction form
    5,734.86/7,914.63 = 3,496.86/x
  3. Step 3: Cross multiply
    5,734.86x = 7,914.63 × 3,496.86
  4. Step 4: Simplify right side
    5,734.86x = 27,676,353.06
  5. Step 5: Solve for x
    x = 27,676,353.06/5,734.86
  6. Step 6: Final answer
    x = 4,825.99

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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.