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Finding the Fourth Proportional to 5,449, 7,519.62 and 3,241

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Solution

The fourth proportional to 5,449, 7,519.62 and 3,241 is: 4,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449 : 7,519.62 = 3,241 : x
  2. Step 2: Convert to fraction form
    5,449/7,519.62 = 3,241/x
  3. Step 3: Cross multiply
    5,449x = 7,519.62 × 3,241
  4. Step 4: Simplify right side
    5,449x = 24,371,088.42
  5. Step 5: Solve for x
    x = 24,371,088.42/5,449
  6. Step 6: Final answer
    x = 4,472.58

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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.