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Finding the Fourth Proportional to 3,812.13, 5,258.79 and 3,287.25

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Solution

The fourth proportional to 3,812.13, 5,258.79 and 3,287.25 is: 4,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.13 : 5,258.79 = 3,287.25 : x
  2. Step 2: Convert to fraction form
    3,812.13/5,258.79 = 3,287.25/x
  3. Step 3: Cross multiply
    3,812.13x = 5,258.79 × 3,287.25
  4. Step 4: Simplify right side
    3,812.13x = 17,286,957.43
  5. Step 5: Solve for x
    x = 17,286,957.43/3,812.13
  6. Step 6: Final answer
    x = 4,534.72

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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.