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Finding the Fourth Proportional to 3,225.63, 4,836.13 and 1,469.76

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Solution

The fourth proportional to 3,225.63, 4,836.13 and 1,469.76 is: 2,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.63 : 4,836.13 = 1,469.76 : x
  2. Step 2: Convert to fraction form
    3,225.63/4,836.13 = 1,469.76/x
  3. Step 3: Cross multiply
    3,225.63x = 4,836.13 × 1,469.76
  4. Step 4: Simplify right side
    3,225.63x = 7,107,950.43
  5. Step 5: Solve for x
    x = 7,107,950.43/3,225.63
  6. Step 6: Final answer
    x = 2,203.59

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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.