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Finding the Fourth Proportional to 3,564.16, 4,918.84 and 2,072.17

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Solution

The fourth proportional to 3,564.16, 4,918.84 and 2,072.17 is: 2,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.16 : 4,918.84 = 2,072.17 : x
  2. Step 2: Convert to fraction form
    3,564.16/4,918.84 = 2,072.17/x
  3. Step 3: Cross multiply
    3,564.16x = 4,918.84 × 2,072.17
  4. Step 4: Simplify right side
    3,564.16x = 10,192,699.14
  5. Step 5: Solve for x
    x = 10,192,699.14/3,564.16
  6. Step 6: Final answer
    x = 2,859.78

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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.