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Finding the Fourth Proportional to 4,096.48, 6,144.36 and 1,755.40

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Solution

The fourth proportional to 4,096.48, 6,144.36 and 1,755.40 is: 2,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.48 : 6,144.36 = 1,755.40 : x
  2. Step 2: Convert to fraction form
    4,096.48/6,144.36 = 1,755.40/x
  3. Step 3: Cross multiply
    4,096.48x = 6,144.36 × 1,755.40
  4. Step 4: Simplify right side
    4,096.48x = 10,785,809.54
  5. Step 5: Solve for x
    x = 10,785,809.54/4,096.48
  6. Step 6: Final answer
    x = 2,632.95

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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.