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Finding the Fourth Proportional to 3,809.42, 5,258.02 and 2,318.18

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Solution

The fourth proportional to 3,809.42, 5,258.02 and 2,318.18 is: 3,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.42 : 5,258.02 = 2,318.18 : x
  2. Step 2: Convert to fraction form
    3,809.42/5,258.02 = 2,318.18/x
  3. Step 3: Cross multiply
    3,809.42x = 5,258.02 × 2,318.18
  4. Step 4: Simplify right side
    3,809.42x = 12,189,036.80
  5. Step 5: Solve for x
    x = 12,189,036.80/3,809.42
  6. Step 6: Final answer
    x = 3,199.71

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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.