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Finding the Fourth Proportional to 3,660.63, 5,491.14 and 1,063.77

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Solution

The fourth proportional to 3,660.63, 5,491.14 and 1,063.77 is: 1,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.63 : 5,491.14 = 1,063.77 : x
  2. Step 2: Convert to fraction form
    3,660.63/5,491.14 = 1,063.77/x
  3. Step 3: Cross multiply
    3,660.63x = 5,491.14 × 1,063.77
  4. Step 4: Simplify right side
    3,660.63x = 5,841,310.00
  5. Step 5: Solve for x
    x = 5,841,310.00/3,660.63
  6. Step 6: Final answer
    x = 1,595.71

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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.