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Finding the Fourth Proportional to 5,694.82, 7,858.86 and 3,176.86

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Solution

The fourth proportional to 5,694.82, 7,858.86 and 3,176.86 is: 4,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.82 : 7,858.86 = 3,176.86 : x
  2. Step 2: Convert to fraction form
    5,694.82/7,858.86 = 3,176.86/x
  3. Step 3: Cross multiply
    5,694.82x = 7,858.86 × 3,176.86
  4. Step 4: Simplify right side
    5,694.82x = 24,966,497.98
  5. Step 5: Solve for x
    x = 24,966,497.98/5,694.82
  6. Step 6: Final answer
    x = 4,384.07

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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.