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Finding the Fourth Proportional to 3,400.01, 5,096.46 and 1,642.40

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Solution

The fourth proportional to 3,400.01, 5,096.46 and 1,642.40 is: 2,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.01 : 5,096.46 = 1,642.40 : x
  2. Step 2: Convert to fraction form
    3,400.01/5,096.46 = 1,642.40/x
  3. Step 3: Cross multiply
    3,400.01x = 5,096.46 × 1,642.40
  4. Step 4: Simplify right side
    3,400.01x = 8,370,425.90
  5. Step 5: Solve for x
    x = 8,370,425.90/3,400.01
  6. Step 6: Final answer
    x = 2,461.88

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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.