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Finding the Fourth Proportional to 4,715.82, 7,073.71 and 1,205.82

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Solution

The fourth proportional to 4,715.82, 7,073.71 and 1,205.82 is: 1,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.82 : 7,073.71 = 1,205.82 : x
  2. Step 2: Convert to fraction form
    4,715.82/7,073.71 = 1,205.82/x
  3. Step 3: Cross multiply
    4,715.82x = 7,073.71 × 1,205.82
  4. Step 4: Simplify right side
    4,715.82x = 8,529,620.99
  5. Step 5: Solve for x
    x = 8,529,620.99/4,715.82
  6. Step 6: Final answer
    x = 1,808.72

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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.