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Finding the Fourth Proportional to 3,418.82, 5,128.17 and 953.78

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Solution

The fourth proportional to 3,418.82, 5,128.17 and 953.78 is: 1,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.82 : 5,128.17 = 953.78 : x
  2. Step 2: Convert to fraction form
    3,418.82/5,128.17 = 953.78/x
  3. Step 3: Cross multiply
    3,418.82x = 5,128.17 × 953.78
  4. Step 4: Simplify right side
    3,418.82x = 4,891,145.98
  5. Step 5: Solve for x
    x = 4,891,145.98/3,418.82
  6. Step 6: Final answer
    x = 1,430.65

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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.