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Finding the Fourth Proportional to 3,418.45, 5,127.60 and 953.20

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Solution

The fourth proportional to 3,418.45, 5,127.60 and 953.20 is: 1,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.45 : 5,127.60 = 953.20 : x
  2. Step 2: Convert to fraction form
    3,418.45/5,127.60 = 953.20/x
  3. Step 3: Cross multiply
    3,418.45x = 5,127.60 × 953.20
  4. Step 4: Simplify right side
    3,418.45x = 4,887,623.55
  5. Step 5: Solve for x
    x = 4,887,623.55/3,418.45
  6. Step 6: Final answer
    x = 1,429.78

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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.