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Finding the Fourth Proportional to 3,418.93, 5,128.68 and 953.75

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Solution

The fourth proportional to 3,418.93, 5,128.68 and 953.75 is: 1,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.93 : 5,128.68 = 953.75 : x
  2. Step 2: Convert to fraction form
    3,418.93/5,128.68 = 953.75/x
  3. Step 3: Cross multiply
    3,418.93x = 5,128.68 × 953.75
  4. Step 4: Simplify right side
    3,418.93x = 4,891,478.55
  5. Step 5: Solve for x
    x = 4,891,478.55/3,418.93
  6. Step 6: Final answer
    x = 1,430.71

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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.