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Finding the Fourth Proportional to 4,234.66, 5,844.90 and 2,820.70

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Solution

The fourth proportional to 4,234.66, 5,844.90 and 2,820.70 is: 3,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.66 : 5,844.90 = 2,820.70 : x
  2. Step 2: Convert to fraction form
    4,234.66/5,844.90 = 2,820.70/x
  3. Step 3: Cross multiply
    4,234.66x = 5,844.90 × 2,820.70
  4. Step 4: Simplify right side
    4,234.66x = 16,486,709.43
  5. Step 5: Solve for x
    x = 16,486,709.43/4,234.66
  6. Step 6: Final answer
    x = 3,893.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.