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Finding the Fourth Proportional to 5,293.89, 7,937.76 and 3,540.87

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Solution

The fourth proportional to 5,293.89, 7,937.76 and 3,540.87 is: 5,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.89 : 7,937.76 = 3,540.87 : x
  2. Step 2: Convert to fraction form
    5,293.89/7,937.76 = 3,540.87/x
  3. Step 3: Cross multiply
    5,293.89x = 7,937.76 × 3,540.87
  4. Step 4: Simplify right side
    5,293.89x = 28,106,576.25
  5. Step 5: Solve for x
    x = 28,106,576.25/5,293.89
  6. Step 6: Final answer
    x = 5,309.25

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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.