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Finding the Fourth Proportional to 4,852.57, 7,278.86 and 3,874.09

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Solution

The fourth proportional to 4,852.57, 7,278.86 and 3,874.09 is: 5,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.57 : 7,278.86 = 3,874.09 : x
  2. Step 2: Convert to fraction form
    4,852.57/7,278.86 = 3,874.09/x
  3. Step 3: Cross multiply
    4,852.57x = 7,278.86 × 3,874.09
  4. Step 4: Simplify right side
    4,852.57x = 28,198,967.25
  5. Step 5: Solve for x
    x = 28,198,967.25/4,852.57
  6. Step 6: Final answer
    x = 5,811.14

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.