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Finding the Fourth Proportional to 4,723.28, 7,086 and 2,258.72

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Solution

The fourth proportional to 4,723.28, 7,086 and 2,258.72 is: 3,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.28 : 7,086 = 2,258.72 : x
  2. Step 2: Convert to fraction form
    4,723.28/7,086 = 2,258.72/x
  3. Step 3: Cross multiply
    4,723.28x = 7,086 × 2,258.72
  4. Step 4: Simplify right side
    4,723.28x = 16,005,289.92
  5. Step 5: Solve for x
    x = 16,005,289.92/4,723.28
  6. Step 6: Final answer
    x = 3,388.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.