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Finding the Fourth Proportional to 3,805.77, 5,249.37 and 3,307.56

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Solution

The fourth proportional to 3,805.77, 5,249.37 and 3,307.56 is: 4,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.77 : 5,249.37 = 3,307.56 : x
  2. Step 2: Convert to fraction form
    3,805.77/5,249.37 = 3,307.56/x
  3. Step 3: Cross multiply
    3,805.77x = 5,249.37 × 3,307.56
  4. Step 4: Simplify right side
    3,805.77x = 17,362,606.24
  5. Step 5: Solve for x
    x = 17,362,606.24/3,805.77
  6. Step 6: Final answer
    x = 4,562.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.