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Finding the Fourth Proportional to 5,731.92, 7,914.60 and 4,609.26

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Solution

The fourth proportional to 5,731.92, 7,914.60 and 4,609.26 is: 6,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.92 : 7,914.60 = 4,609.26 : x
  2. Step 2: Convert to fraction form
    5,731.92/7,914.60 = 4,609.26/x
  3. Step 3: Cross multiply
    5,731.92x = 7,914.60 × 4,609.26
  4. Step 4: Simplify right side
    5,731.92x = 36,480,449.20
  5. Step 5: Solve for x
    x = 36,480,449.20/5,731.92
  6. Step 6: Final answer
    x = 6,364.44

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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.