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Finding the Fourth Proportional to 3,918.84, 5,409.78 and 2,504.46

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Solution

The fourth proportional to 3,918.84, 5,409.78 and 2,504.46 is: 3,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.84 : 5,409.78 = 2,504.46 : x
  2. Step 2: Convert to fraction form
    3,918.84/5,409.78 = 2,504.46/x
  3. Step 3: Cross multiply
    3,918.84x = 5,409.78 × 2,504.46
  4. Step 4: Simplify right side
    3,918.84x = 13,548,577.62
  5. Step 5: Solve for x
    x = 13,548,577.62/3,918.84
  6. Step 6: Final answer
    x = 3,457.29

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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.