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Finding the Fourth Proportional to 4,156.39, 5,760.08 and 4,077.54

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Solution

The fourth proportional to 4,156.39, 5,760.08 and 4,077.54 is: 5,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.39 : 5,760.08 = 4,077.54 : x
  2. Step 2: Convert to fraction form
    4,156.39/5,760.08 = 4,077.54/x
  3. Step 3: Cross multiply
    4,156.39x = 5,760.08 × 4,077.54
  4. Step 4: Simplify right side
    4,156.39x = 23,486,927.80
  5. Step 5: Solve for x
    x = 23,486,927.80/4,156.39
  6. Step 6: Final answer
    x = 5,650.81

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.