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Finding the Fourth Proportional to 3,435.74, 5,154.23 and 1,096.26

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Solution

The fourth proportional to 3,435.74, 5,154.23 and 1,096.26 is: 1,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.74 : 5,154.23 = 1,096.26 : x
  2. Step 2: Convert to fraction form
    3,435.74/5,154.23 = 1,096.26/x
  3. Step 3: Cross multiply
    3,435.74x = 5,154.23 × 1,096.26
  4. Step 4: Simplify right side
    3,435.74x = 5,650,370.70
  5. Step 5: Solve for x
    x = 5,650,370.70/3,435.74
  6. Step 6: Final answer
    x = 1,644.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.