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Finding the Fourth Proportional to 4,633.71, 6,950.06 and 1,672.05

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Solution

The fourth proportional to 4,633.71, 6,950.06 and 1,672.05 is: 2,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.71 : 6,950.06 = 1,672.05 : x
  2. Step 2: Convert to fraction form
    4,633.71/6,950.06 = 1,672.05/x
  3. Step 3: Cross multiply
    4,633.71x = 6,950.06 × 1,672.05
  4. Step 4: Simplify right side
    4,633.71x = 11,620,819.67
  5. Step 5: Solve for x
    x = 11,620,819.67/4,633.71
  6. Step 6: Final answer
    x = 2,507.89

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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.