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Finding the Fourth Proportional to 5,093.88, 7,640.82 and 3,146.76

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Solution

The fourth proportional to 5,093.88, 7,640.82 and 3,146.76 is: 4,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.88 : 7,640.82 = 3,146.76 : x
  2. Step 2: Convert to fraction form
    5,093.88/7,640.82 = 3,146.76/x
  3. Step 3: Cross multiply
    5,093.88x = 7,640.82 × 3,146.76
  4. Step 4: Simplify right side
    5,093.88x = 24,043,826.74
  5. Step 5: Solve for x
    x = 24,043,826.74/5,093.88
  6. Step 6: Final answer
    x = 4,720.14

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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.