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Finding the Fourth Proportional to 5,757.15, 7,954.74 and 4,442.16

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Solution

The fourth proportional to 5,757.15, 7,954.74 and 4,442.16 is: 6,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.15 : 7,954.74 = 4,442.16 : x
  2. Step 2: Convert to fraction form
    5,757.15/7,954.74 = 4,442.16/x
  3. Step 3: Cross multiply
    5,757.15x = 7,954.74 × 4,442.16
  4. Step 4: Simplify right side
    5,757.15x = 35,336,227.84
  5. Step 5: Solve for x
    x = 35,336,227.84/5,757.15
  6. Step 6: Final answer
    x = 6,137.80

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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.