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Finding the Fourth Proportional to 3,446.17, 5,166.71 and 1,104.82

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Solution

The fourth proportional to 3,446.17, 5,166.71 and 1,104.82 is: 1,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.17 : 5,166.71 = 1,104.82 : x
  2. Step 2: Convert to fraction form
    3,446.17/5,166.71 = 1,104.82/x
  3. Step 3: Cross multiply
    3,446.17x = 5,166.71 × 1,104.82
  4. Step 4: Simplify right side
    3,446.17x = 5,708,270.24
  5. Step 5: Solve for x
    x = 5,708,270.24/3,446.17
  6. Step 6: Final answer
    x = 1,656.41

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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.