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Finding the Fourth Proportional to 3,428.64, 5,143.86 and 1,480.38

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Solution

The fourth proportional to 3,428.64, 5,143.86 and 1,480.38 is: 2,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.64 : 5,143.86 = 1,480.38 : x
  2. Step 2: Convert to fraction form
    3,428.64/5,143.86 = 1,480.38/x
  3. Step 3: Cross multiply
    3,428.64x = 5,143.86 × 1,480.38
  4. Step 4: Simplify right side
    3,428.64x = 7,614,867.47
  5. Step 5: Solve for x
    x = 7,614,867.47/3,428.64
  6. Step 6: Final answer
    x = 2,220.96

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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.