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Finding the Fourth Proportional to 3,873.84, 5,346.16 and 2,362.02

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Solution

The fourth proportional to 3,873.84, 5,346.16 and 2,362.02 is: 3,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.84 : 5,346.16 = 2,362.02 : x
  2. Step 2: Convert to fraction form
    3,873.84/5,346.16 = 2,362.02/x
  3. Step 3: Cross multiply
    3,873.84x = 5,346.16 × 2,362.02
  4. Step 4: Simplify right side
    3,873.84x = 12,627,736.84
  5. Step 5: Solve for x
    x = 12,627,736.84/3,873.84
  6. Step 6: Final answer
    x = 3,259.75

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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.