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Finding the Fourth Proportional to 5,249.83, 7,232.44 and 3,653.74

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Solution

The fourth proportional to 5,249.83, 7,232.44 and 3,653.74 is: 5,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.83 : 7,232.44 = 3,653.74 : x
  2. Step 2: Convert to fraction form
    5,249.83/7,232.44 = 3,653.74/x
  3. Step 3: Cross multiply
    5,249.83x = 7,232.44 × 3,653.74
  4. Step 4: Simplify right side
    5,249.83x = 26,425,455.33
  5. Step 5: Solve for x
    x = 26,425,455.33/5,249.83
  6. Step 6: Final answer
    x = 5,033.58

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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.