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Finding the Fourth Proportional to 5,734.16, 7,930.60 and 5,144.48

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Solution

The fourth proportional to 5,734.16, 7,930.60 and 5,144.48 is: 7,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.16 : 7,930.60 = 5,144.48 : x
  2. Step 2: Convert to fraction form
    5,734.16/7,930.60 = 5,144.48/x
  3. Step 3: Cross multiply
    5,734.16x = 7,930.60 × 5,144.48
  4. Step 4: Simplify right side
    5,734.16x = 40,798,813.09
  5. Step 5: Solve for x
    x = 40,798,813.09/5,734.16
  6. Step 6: Final answer
    x = 7,115.05

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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.