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Finding the Fourth Proportional to 3,272.16, 4,914.54 and 2,804.69

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Solution

The fourth proportional to 3,272.16, 4,914.54 and 2,804.69 is: 4,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.16 : 4,914.54 = 2,804.69 : x
  2. Step 2: Convert to fraction form
    3,272.16/4,914.54 = 2,804.69/x
  3. Step 3: Cross multiply
    3,272.16x = 4,914.54 × 2,804.69
  4. Step 4: Simplify right side
    3,272.16x = 13,783,773.48
  5. Step 5: Solve for x
    x = 13,783,773.48/3,272.16
  6. Step 6: Final answer
    x = 4,212.43

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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.