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Finding the Fourth Proportional to 4,119.84, 5,684.25 and 2,351.40

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Solution

The fourth proportional to 4,119.84, 5,684.25 and 2,351.40 is: 3,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.84 : 5,684.25 = 2,351.40 : x
  2. Step 2: Convert to fraction form
    4,119.84/5,684.25 = 2,351.40/x
  3. Step 3: Cross multiply
    4,119.84x = 5,684.25 × 2,351.40
  4. Step 4: Simplify right side
    4,119.84x = 13,365,945.45
  5. Step 5: Solve for x
    x = 13,365,945.45/4,119.84
  6. Step 6: Final answer
    x = 3,244.29

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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.