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Finding the Fourth Proportional to 3,343.84, 5,015.76 and 2,113.12

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Solution

The fourth proportional to 3,343.84, 5,015.76 and 2,113.12 is: 3,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.84 : 5,015.76 = 2,113.12 : x
  2. Step 2: Convert to fraction form
    3,343.84/5,015.76 = 2,113.12/x
  3. Step 3: Cross multiply
    3,343.84x = 5,015.76 × 2,113.12
  4. Step 4: Simplify right side
    3,343.84x = 10,598,902.77
  5. Step 5: Solve for x
    x = 10,598,902.77/3,343.84
  6. Step 6: Final answer
    x = 3,169.68

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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.