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Finding the Fourth Proportional to 5,376.38, 8,064.56 and 1,480.78

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Solution

The fourth proportional to 5,376.38, 8,064.56 and 1,480.78 is: 2,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.38 : 8,064.56 = 1,480.78 : x
  2. Step 2: Convert to fraction form
    5,376.38/8,064.56 = 1,480.78/x
  3. Step 3: Cross multiply
    5,376.38x = 8,064.56 × 1,480.78
  4. Step 4: Simplify right side
    5,376.38x = 11,941,852.94
  5. Step 5: Solve for x
    x = 11,941,852.94/5,376.38
  6. Step 6: Final answer
    x = 2,221.17

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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.