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Finding the Fourth Proportional to 5,735.38, 7,914.83 and 3,346.99

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Solution

The fourth proportional to 5,735.38, 7,914.83 and 3,346.99 is: 4,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.38 : 7,914.83 = 3,346.99 : x
  2. Step 2: Convert to fraction form
    5,735.38/7,914.83 = 3,346.99/x
  3. Step 3: Cross multiply
    5,735.38x = 7,914.83 × 3,346.99
  4. Step 4: Simplify right side
    5,735.38x = 26,490,856.86
  5. Step 5: Solve for x
    x = 26,490,856.86/5,735.38
  6. Step 6: Final answer
    x = 4,618.85

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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.