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Finding the Fourth Proportional to 5,322.44, 7,346.74 and 3,084.84

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Solution

The fourth proportional to 5,322.44, 7,346.74 and 3,084.84 is: 4,258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.44 : 7,346.74 = 3,084.84 : x
  2. Step 2: Convert to fraction form
    5,322.44/7,346.74 = 3,084.84/x
  3. Step 3: Cross multiply
    5,322.44x = 7,346.74 × 3,084.84
  4. Step 4: Simplify right side
    5,322.44x = 22,663,517.42
  5. Step 5: Solve for x
    x = 22,663,517.42/5,322.44
  6. Step 6: Final answer
    x = 4,258.11

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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.