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Finding the Fourth Proportional to 3,446.47, 5,166.60 and 1,365.45

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Solution

The fourth proportional to 3,446.47, 5,166.60 and 1,365.45 is: 2,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.47 : 5,166.60 = 1,365.45 : x
  2. Step 2: Convert to fraction form
    3,446.47/5,166.60 = 1,365.45/x
  3. Step 3: Cross multiply
    3,446.47x = 5,166.60 × 1,365.45
  4. Step 4: Simplify right side
    3,446.47x = 7,054,733.97
  5. Step 5: Solve for x
    x = 7,054,733.97/3,446.47
  6. Step 6: Final answer
    x = 2,046.94

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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.