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Finding the Fourth Proportional to 4,213.57, 6,315.90 and 2,020.90

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Solution

The fourth proportional to 4,213.57, 6,315.90 and 2,020.90 is: 3,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.57 : 6,315.90 = 2,020.90 : x
  2. Step 2: Convert to fraction form
    4,213.57/6,315.90 = 2,020.90/x
  3. Step 3: Cross multiply
    4,213.57x = 6,315.90 × 2,020.90
  4. Step 4: Simplify right side
    4,213.57x = 12,763,802.31
  5. Step 5: Solve for x
    x = 12,763,802.31/4,213.57
  6. Step 6: Final answer
    x = 3,029.21

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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.