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Finding the Fourth Proportional to 4,100.70, 6,150.48 and 2,020.14

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Solution

The fourth proportional to 4,100.70, 6,150.48 and 2,020.14 is: 3,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.70 : 6,150.48 = 2,020.14 : x
  2. Step 2: Convert to fraction form
    4,100.70/6,150.48 = 2,020.14/x
  3. Step 3: Cross multiply
    4,100.70x = 6,150.48 × 2,020.14
  4. Step 4: Simplify right side
    4,100.70x = 12,424,830.67
  5. Step 5: Solve for x
    x = 12,424,830.67/4,100.70
  6. Step 6: Final answer
    x = 3,029.93

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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.