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Finding the Fourth Proportional to 3,371.76, 5,056.56 and 1,424.16

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Solution

The fourth proportional to 3,371.76, 5,056.56 and 1,424.16 is: 2,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.76 : 5,056.56 = 1,424.16 : x
  2. Step 2: Convert to fraction form
    3,371.76/5,056.56 = 1,424.16/x
  3. Step 3: Cross multiply
    3,371.76x = 5,056.56 × 1,424.16
  4. Step 4: Simplify right side
    3,371.76x = 7,201,350.49
  5. Step 5: Solve for x
    x = 7,201,350.49/3,371.76
  6. Step 6: Final answer
    x = 2,135.78

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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.