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Finding the Fourth Proportional to 4,410, 6,610.53 and 2,767.71

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Solution

The fourth proportional to 4,410, 6,610.53 and 2,767.71 is: 4,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,410 : 6,610.53 = 2,767.71 : x
  2. Step 2: Convert to fraction form
    4,410/6,610.53 = 2,767.71/x
  3. Step 3: Cross multiply
    4,410x = 6,610.53 × 2,767.71
  4. Step 4: Simplify right side
    4,410x = 18,296,029.99
  5. Step 5: Solve for x
    x = 18,296,029.99/4,410
  6. Step 6: Final answer
    x = 4,148.76

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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.