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Finding the Fourth Proportional to 5,293.92, 7,940.88 and 3,117.84

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Solution

The fourth proportional to 5,293.92, 7,940.88 and 3,117.84 is: 4,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.92 : 7,940.88 = 3,117.84 : x
  2. Step 2: Convert to fraction form
    5,293.92/7,940.88 = 3,117.84/x
  3. Step 3: Cross multiply
    5,293.92x = 7,940.88 × 3,117.84
  4. Step 4: Simplify right side
    5,293.92x = 24,758,393.30
  5. Step 5: Solve for x
    x = 24,758,393.30/5,293.92
  6. Step 6: Final answer
    x = 4,676.76

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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.