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Finding the Fourth Proportional to 5,442.96, 7,512.62 and 3,086.48

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Solution

The fourth proportional to 5,442.96, 7,512.62 and 3,086.48 is: 4,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.96 : 7,512.62 = 3,086.48 : x
  2. Step 2: Convert to fraction form
    5,442.96/7,512.62 = 3,086.48/x
  3. Step 3: Cross multiply
    5,442.96x = 7,512.62 × 3,086.48
  4. Step 4: Simplify right side
    5,442.96x = 23,187,551.38
  5. Step 5: Solve for x
    x = 23,187,551.38/5,442.96
  6. Step 6: Final answer
    x = 4,260.10

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Half scale
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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.