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Finding the Fourth Proportional to 4,085.46, 6,128.20 and 2,141.46

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Solution

The fourth proportional to 4,085.46, 6,128.20 and 2,141.46 is: 3,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.46 : 6,128.20 = 2,141.46 : x
  2. Step 2: Convert to fraction form
    4,085.46/6,128.20 = 2,141.46/x
  3. Step 3: Cross multiply
    4,085.46x = 6,128.20 × 2,141.46
  4. Step 4: Simplify right side
    4,085.46x = 13,123,295.17
  5. Step 5: Solve for x
    x = 13,123,295.17/4,085.46
  6. Step 6: Final answer
    x = 3,212.20

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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.