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Finding the Fourth Proportional to 4,700.64, 7,057.86 and 2,624.70

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Solution

The fourth proportional to 4,700.64, 7,057.86 and 2,624.70 is: 3,940.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.64 : 7,057.86 = 2,624.70 : x
  2. Step 2: Convert to fraction form
    4,700.64/7,057.86 = 2,624.70/x
  3. Step 3: Cross multiply
    4,700.64x = 7,057.86 × 2,624.70
  4. Step 4: Simplify right side
    4,700.64x = 18,524,765.14
  5. Step 5: Solve for x
    x = 18,524,765.14/4,700.64
  6. Step 6: Final answer
    x = 3,940.90

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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.