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Finding the Fourth Proportional to 6,593.81, 9,099.14 and 3,941.46

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Solution

The fourth proportional to 6,593.81, 9,099.14 and 3,941.46 is: 5,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.81 : 9,099.14 = 3,941.46 : x
  2. Step 2: Convert to fraction form
    6,593.81/9,099.14 = 3,941.46/x
  3. Step 3: Cross multiply
    6,593.81x = 9,099.14 × 3,941.46
  4. Step 4: Simplify right side
    6,593.81x = 35,863,876.64
  5. Step 5: Solve for x
    x = 35,863,876.64/6,593.81
  6. Step 6: Final answer
    x = 5,439.03

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Why These Related Problems?

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