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Finding the Fourth Proportional to 5,731.89, 7,911.41 and 3,494.99

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Solution

The fourth proportional to 5,731.89, 7,911.41 and 3,494.99 is: 4,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.89 : 7,911.41 = 3,494.99 : x
  2. Step 2: Convert to fraction form
    5,731.89/7,911.41 = 3,494.99/x
  3. Step 3: Cross multiply
    5,731.89x = 7,911.41 × 3,494.99
  4. Step 4: Simplify right side
    5,731.89x = 27,650,309.88
  5. Step 5: Solve for x
    x = 27,650,309.88/5,731.89
  6. Step 6: Final answer
    x = 4,823.95

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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.