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Finding the Fourth Proportional to 5,731.97, 7,914.78 and 4,669.89

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Solution

The fourth proportional to 5,731.97, 7,914.78 and 4,669.89 is: 6,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.97 : 7,914.78 = 4,669.89 : x
  2. Step 2: Convert to fraction form
    5,731.97/7,914.78 = 4,669.89/x
  3. Step 3: Cross multiply
    5,731.97x = 7,914.78 × 4,669.89
  4. Step 4: Simplify right side
    5,731.97x = 36,961,122.29
  5. Step 5: Solve for x
    x = 36,961,122.29/5,731.97
  6. Step 6: Final answer
    x = 6,448.25

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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.