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Finding the Fourth Proportional to 3,699.54, 5,546.75 and 1,234.08

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Solution

The fourth proportional to 3,699.54, 5,546.75 and 1,234.08 is: 1,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.54 : 5,546.75 = 1,234.08 : x
  2. Step 2: Convert to fraction form
    3,699.54/5,546.75 = 1,234.08/x
  3. Step 3: Cross multiply
    3,699.54x = 5,546.75 × 1,234.08
  4. Step 4: Simplify right side
    3,699.54x = 6,845,127.07
  5. Step 5: Solve for x
    x = 6,845,127.07/3,699.54
  6. Step 6: Final answer
    x = 1,850.26

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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.