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Finding the Fourth Proportional to 5,133.41, 7,693.97 and 2,011.47

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Solution

The fourth proportional to 5,133.41, 7,693.97 and 2,011.47 is: 3,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.41 : 7,693.97 = 2,011.47 : x
  2. Step 2: Convert to fraction form
    5,133.41/7,693.97 = 2,011.47/x
  3. Step 3: Cross multiply
    5,133.41x = 7,693.97 × 2,011.47
  4. Step 4: Simplify right side
    5,133.41x = 15,476,189.84
  5. Step 5: Solve for x
    x = 15,476,189.84/5,133.41
  6. Step 6: Final answer
    x = 3,014.80

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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.