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Finding the Fourth Proportional to 4,097.92, 5,655.36 and 2,234.88

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Solution

The fourth proportional to 4,097.92, 5,655.36 and 2,234.88 is: 3,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.92 : 5,655.36 = 2,234.88 : x
  2. Step 2: Convert to fraction form
    4,097.92/5,655.36 = 2,234.88/x
  3. Step 3: Cross multiply
    4,097.92x = 5,655.36 × 2,234.88
  4. Step 4: Simplify right side
    4,097.92x = 12,639,050.96
  5. Step 5: Solve for x
    x = 12,639,050.96/4,097.92
  6. Step 6: Final answer
    x = 3,084.26

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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.