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Finding the Fourth Proportional to 3,208.84, 4,427.78 and 1,792.32

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Solution

The fourth proportional to 3,208.84, 4,427.78 and 1,792.32 is: 2,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.84 : 4,427.78 = 1,792.32 : x
  2. Step 2: Convert to fraction form
    3,208.84/4,427.78 = 1,792.32/x
  3. Step 3: Cross multiply
    3,208.84x = 4,427.78 × 1,792.32
  4. Step 4: Simplify right side
    3,208.84x = 7,935,998.65
  5. Step 5: Solve for x
    x = 7,935,998.65/3,208.84
  6. Step 6: Final answer
    x = 2,473.17

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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.