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Finding the Fourth Proportional to 3,418.36, 5,127.24 and 953.14

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Solution

The fourth proportional to 3,418.36, 5,127.24 and 953.14 is: 1,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.36 : 5,127.24 = 953.14 : x
  2. Step 2: Convert to fraction form
    3,418.36/5,127.24 = 953.14/x
  3. Step 3: Cross multiply
    3,418.36x = 5,127.24 × 953.14
  4. Step 4: Simplify right side
    3,418.36x = 4,886,977.53
  5. Step 5: Solve for x
    x = 4,886,977.53/3,418.36
  6. Step 6: Final answer
    x = 1,429.63

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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.