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Finding the Fourth Proportional to 6,596.00, 9,101.25 and 3,942.84

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Solution

The fourth proportional to 6,596.00, 9,101.25 and 3,942.84 is: 5,440.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.00 : 9,101.25 = 3,942.84 : x
  2. Step 2: Convert to fraction form
    6,596.00/9,101.25 = 3,942.84/x
  3. Step 3: Cross multiply
    6,596.00x = 9,101.25 × 3,942.84
  4. Step 4: Simplify right side
    6,596.00x = 35,884,772.55
  5. Step 5: Solve for x
    x = 35,884,772.55/6,596.00
  6. Step 6: Final answer
    x = 5,440.39

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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.