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Finding the Fourth Proportional to 4,017.75, 6,026.94 and 1,096.17

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Solution

The fourth proportional to 4,017.75, 6,026.94 and 1,096.17 is: 1,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.75 : 6,026.94 = 1,096.17 : x
  2. Step 2: Convert to fraction form
    4,017.75/6,026.94 = 1,096.17/x
  3. Step 3: Cross multiply
    4,017.75x = 6,026.94 × 1,096.17
  4. Step 4: Simplify right side
    4,017.75x = 6,606,550.82
  5. Step 5: Solve for x
    x = 6,606,550.82/4,017.75
  6. Step 6: Final answer
    x = 1,644.34

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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.