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Finding the Fourth Proportional to 3,437.75, 5,154.11 and 1,096.41

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Solution

The fourth proportional to 3,437.75, 5,154.11 and 1,096.41 is: 1,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.75 : 5,154.11 = 1,096.41 : x
  2. Step 2: Convert to fraction form
    3,437.75/5,154.11 = 1,096.41/x
  3. Step 3: Cross multiply
    3,437.75x = 5,154.11 × 1,096.41
  4. Step 4: Simplify right side
    3,437.75x = 5,651,012.26
  5. Step 5: Solve for x
    x = 5,651,012.26/3,437.75
  6. Step 6: Final answer
    x = 1,643.81

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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.