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Finding the Fourth Proportional to 3,406.60, 5,106.16 and 1,942.52

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Solution

The fourth proportional to 3,406.60, 5,106.16 and 1,942.52 is: 2,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.60 : 5,106.16 = 1,942.52 : x
  2. Step 2: Convert to fraction form
    3,406.60/5,106.16 = 1,942.52/x
  3. Step 3: Cross multiply
    3,406.60x = 5,106.16 × 1,942.52
  4. Step 4: Simplify right side
    3,406.60x = 9,918,817.92
  5. Step 5: Solve for x
    x = 9,918,817.92/3,406.60
  6. Step 6: Final answer
    x = 2,911.65

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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.