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Finding the Fourth Proportional to 3,812.72, 5,258.95 and 3,499.16

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Solution

The fourth proportional to 3,812.72, 5,258.95 and 3,499.16 is: 4,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.72 : 5,258.95 = 3,499.16 : x
  2. Step 2: Convert to fraction form
    3,812.72/5,258.95 = 3,499.16/x
  3. Step 3: Cross multiply
    3,812.72x = 5,258.95 × 3,499.16
  4. Step 4: Simplify right side
    3,812.72x = 18,401,872.44
  5. Step 5: Solve for x
    x = 18,401,872.44/3,812.72
  6. Step 6: Final answer
    x = 4,826.45

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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.