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Finding the Fourth Proportional to 5,273.69, 7,904.41 and 1,984.68

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Solution

The fourth proportional to 5,273.69, 7,904.41 and 1,984.68 is: 2,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.69 : 7,904.41 = 1,984.68 : x
  2. Step 2: Convert to fraction form
    5,273.69/7,904.41 = 1,984.68/x
  3. Step 3: Cross multiply
    5,273.69x = 7,904.41 × 1,984.68
  4. Step 4: Simplify right side
    5,273.69x = 15,687,719.48
  5. Step 5: Solve for x
    x = 15,687,719.48/5,273.69
  6. Step 6: Final answer
    x = 2,974.72

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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.