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Finding the Fourth Proportional to 3,418.05, 5,127.37 and 952.87

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Solution

The fourth proportional to 3,418.05, 5,127.37 and 952.87 is: 1,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.05 : 5,127.37 = 952.87 : x
  2. Step 2: Convert to fraction form
    3,418.05/5,127.37 = 952.87/x
  3. Step 3: Cross multiply
    3,418.05x = 5,127.37 × 952.87
  4. Step 4: Simplify right side
    3,418.05x = 4,885,730.29
  5. Step 5: Solve for x
    x = 4,885,730.29/3,418.05
  6. Step 6: Final answer
    x = 1,429.39

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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.