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Finding the Fourth Proportional to 3,287.63, 4,932.19 and 1,096.45

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Solution

The fourth proportional to 3,287.63, 4,932.19 and 1,096.45 is: 1,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.63 : 4,932.19 = 1,096.45 : x
  2. Step 2: Convert to fraction form
    3,287.63/4,932.19 = 1,096.45/x
  3. Step 3: Cross multiply
    3,287.63x = 4,932.19 × 1,096.45
  4. Step 4: Simplify right side
    3,287.63x = 5,407,888.77
  5. Step 5: Solve for x
    x = 5,407,888.77/3,287.63
  6. Step 6: Final answer
    x = 1,644.92

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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.