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Finding the Fourth Proportional to 6,125.68, 8,458.32 and 3,769.12

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Solution

The fourth proportional to 6,125.68, 8,458.32 and 3,769.12 is: 5,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.68 : 8,458.32 = 3,769.12 : x
  2. Step 2: Convert to fraction form
    6,125.68/8,458.32 = 3,769.12/x
  3. Step 3: Cross multiply
    6,125.68x = 8,458.32 × 3,769.12
  4. Step 4: Simplify right side
    6,125.68x = 31,880,423.08
  5. Step 5: Solve for x
    x = 31,880,423.08/6,125.68
  6. Step 6: Final answer
    x = 5,204.39

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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.