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Finding the Fourth Proportional to 3,480.48, 5,219.44 and 1,428.64

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Solution

The fourth proportional to 3,480.48, 5,219.44 and 1,428.64 is: 2,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.48 : 5,219.44 = 1,428.64 : x
  2. Step 2: Convert to fraction form
    3,480.48/5,219.44 = 1,428.64/x
  3. Step 3: Cross multiply
    3,480.48x = 5,219.44 × 1,428.64
  4. Step 4: Simplify right side
    3,480.48x = 7,456,700.76
  5. Step 5: Solve for x
    x = 7,456,700.76/3,480.48
  6. Step 6: Final answer
    x = 2,142.43

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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.