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Finding the Fourth Proportional to 5,751.88, 7,941.45 and 3,866.28

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Solution

The fourth proportional to 5,751.88, 7,941.45 and 3,866.28 is: 5,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.88 : 7,941.45 = 3,866.28 : x
  2. Step 2: Convert to fraction form
    5,751.88/7,941.45 = 3,866.28/x
  3. Step 3: Cross multiply
    5,751.88x = 7,941.45 × 3,866.28
  4. Step 4: Simplify right side
    5,751.88x = 30,703,869.31
  5. Step 5: Solve for x
    x = 30,703,869.31/5,751.88
  6. Step 6: Final answer
    x = 5,338.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.