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Finding the Fourth Proportional to 3,616.36, 4,978.02 and 3,172.20

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Solution

The fourth proportional to 3,616.36, 4,978.02 and 3,172.20 is: 4,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.36 : 4,978.02 = 3,172.20 : x
  2. Step 2: Convert to fraction form
    3,616.36/4,978.02 = 3,172.20/x
  3. Step 3: Cross multiply
    3,616.36x = 4,978.02 × 3,172.20
  4. Step 4: Simplify right side
    3,616.36x = 15,791,275.04
  5. Step 5: Solve for x
    x = 15,791,275.04/3,616.36
  6. Step 6: Final answer
    x = 4,366.62

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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.