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Finding the Fourth Proportional to 3,418.38, 5,127.55 and 953.20

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Solution

The fourth proportional to 3,418.38, 5,127.55 and 953.20 is: 1,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.38 : 5,127.55 = 953.20 : x
  2. Step 2: Convert to fraction form
    3,418.38/5,127.55 = 953.20/x
  3. Step 3: Cross multiply
    3,418.38x = 5,127.55 × 953.20
  4. Step 4: Simplify right side
    3,418.38x = 4,887,580.66
  5. Step 5: Solve for x
    x = 4,887,580.66/3,418.38
  6. Step 6: Final answer
    x = 1,429.79

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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.