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Finding the Fourth Proportional to 4,154.62, 5,758.12 and 4,076.86

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Solution

The fourth proportional to 4,154.62, 5,758.12 and 4,076.86 is: 5,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.62 : 5,758.12 = 4,076.86 : x
  2. Step 2: Convert to fraction form
    4,154.62/5,758.12 = 4,076.86/x
  3. Step 3: Cross multiply
    4,154.62x = 5,758.12 × 4,076.86
  4. Step 4: Simplify right side
    4,154.62x = 23,475,020.31
  5. Step 5: Solve for x
    x = 23,475,020.31/4,154.62
  6. Step 6: Final answer
    x = 5,650.35

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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.