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Finding the Fourth Proportional to 4,839.92, 6,681.13 and 3,270.14

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Solution

The fourth proportional to 4,839.92, 6,681.13 and 3,270.14 is: 4,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.92 : 6,681.13 = 3,270.14 : x
  2. Step 2: Convert to fraction form
    4,839.92/6,681.13 = 3,270.14/x
  3. Step 3: Cross multiply
    4,839.92x = 6,681.13 × 3,270.14
  4. Step 4: Simplify right side
    4,839.92x = 21,848,197.40
  5. Step 5: Solve for x
    x = 21,848,197.40/4,839.92
  6. Step 6: Final answer
    x = 4,514.17

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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.