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Finding the Fourth Proportional to 5,105.01, 7,642.65 and 3,794.58

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Solution

The fourth proportional to 5,105.01, 7,642.65 and 3,794.58 is: 5,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.01 : 7,642.65 = 3,794.58 : x
  2. Step 2: Convert to fraction form
    5,105.01/7,642.65 = 3,794.58/x
  3. Step 3: Cross multiply
    5,105.01x = 7,642.65 × 3,794.58
  4. Step 4: Simplify right side
    5,105.01x = 29,000,646.84
  5. Step 5: Solve for x
    x = 29,000,646.84/5,105.01
  6. Step 6: Final answer
    x = 5,680.82

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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.