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Finding the Fourth Proportional to 3,186.34, 4,775.49 and 1,336.50

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Solution

The fourth proportional to 3,186.34, 4,775.49 and 1,336.50 is: 2,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.34 : 4,775.49 = 1,336.50 : x
  2. Step 2: Convert to fraction form
    3,186.34/4,775.49 = 1,336.50/x
  3. Step 3: Cross multiply
    3,186.34x = 4,775.49 × 1,336.50
  4. Step 4: Simplify right side
    3,186.34x = 6,382,442.39
  5. Step 5: Solve for x
    x = 6,382,442.39/3,186.34
  6. Step 6: Final answer
    x = 2,003.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.