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Finding the Fourth Proportional to 5,047.88, 7,564.92 and 3,814.28

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Solution

The fourth proportional to 5,047.88, 7,564.92 and 3,814.28 is: 5,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.88 : 7,564.92 = 3,814.28 : x
  2. Step 2: Convert to fraction form
    5,047.88/7,564.92 = 3,814.28/x
  3. Step 3: Cross multiply
    5,047.88x = 7,564.92 × 3,814.28
  4. Step 4: Simplify right side
    5,047.88x = 28,854,723.06
  5. Step 5: Solve for x
    x = 28,854,723.06/5,047.88
  6. Step 6: Final answer
    x = 5,716.21

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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.