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Finding the Fourth Proportional to 3,446.68, 4,756.35 and 1,954.57

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Solution

The fourth proportional to 3,446.68, 4,756.35 and 1,954.57 is: 2,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.68 : 4,756.35 = 1,954.57 : x
  2. Step 2: Convert to fraction form
    3,446.68/4,756.35 = 1,954.57/x
  3. Step 3: Cross multiply
    3,446.68x = 4,756.35 × 1,954.57
  4. Step 4: Simplify right side
    3,446.68x = 9,296,619.02
  5. Step 5: Solve for x
    x = 9,296,619.02/3,446.68
  6. Step 6: Final answer
    x = 2,697.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.