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Finding the Fourth Proportional to 5,777.67, 7,964.70 and 4,093.86

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Solution

The fourth proportional to 5,777.67, 7,964.70 and 4,093.86 is: 5,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.67 : 7,964.70 = 4,093.86 : x
  2. Step 2: Convert to fraction form
    5,777.67/7,964.70 = 4,093.86/x
  3. Step 3: Cross multiply
    5,777.67x = 7,964.70 × 4,093.86
  4. Step 4: Simplify right side
    5,777.67x = 32,606,366.74
  5. Step 5: Solve for x
    x = 32,606,366.74/5,777.67
  6. Step 6: Final answer
    x = 5,643.51

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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.