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Finding the Fourth Proportional to 6,115.42, 8,439.09 and 3,597.46

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Solution

The fourth proportional to 6,115.42, 8,439.09 and 3,597.46 is: 4,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.42 : 8,439.09 = 3,597.46 : x
  2. Step 2: Convert to fraction form
    6,115.42/8,439.09 = 3,597.46/x
  3. Step 3: Cross multiply
    6,115.42x = 8,439.09 × 3,597.46
  4. Step 4: Simplify right side
    6,115.42x = 30,359,288.71
  5. Step 5: Solve for x
    x = 30,359,288.71/6,115.42
  6. Step 6: Final answer
    x = 4,964.38

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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.