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Finding the Fourth Proportional to 3,951.84, 5,454.18 and 3,006.12

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Solution

The fourth proportional to 3,951.84, 5,454.18 and 3,006.12 is: 4,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.84 : 5,454.18 = 3,006.12 : x
  2. Step 2: Convert to fraction form
    3,951.84/5,454.18 = 3,006.12/x
  3. Step 3: Cross multiply
    3,951.84x = 5,454.18 × 3,006.12
  4. Step 4: Simplify right side
    3,951.84x = 16,395,919.58
  5. Step 5: Solve for x
    x = 16,395,919.58/3,951.84
  6. Step 6: Final answer
    x = 4,148.93

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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.