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Finding the Fourth Proportional to 4,471.38, 6,702.21 and 3,820.14

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Solution

The fourth proportional to 4,471.38, 6,702.21 and 3,820.14 is: 5,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.38 : 6,702.21 = 3,820.14 : x
  2. Step 2: Convert to fraction form
    4,471.38/6,702.21 = 3,820.14/x
  3. Step 3: Cross multiply
    4,471.38x = 6,702.21 × 3,820.14
  4. Step 4: Simplify right side
    4,471.38x = 25,603,380.51
  5. Step 5: Solve for x
    x = 25,603,380.51/4,471.38
  6. Step 6: Final answer
    x = 5,726.06

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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.