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Finding the Fourth Proportional to 3,418, 4,716.84 and 2,176.72

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Solution

The fourth proportional to 3,418, 4,716.84 and 2,176.72 is: 3,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418 : 4,716.84 = 2,176.72 : x
  2. Step 2: Convert to fraction form
    3,418/4,716.84 = 2,176.72/x
  3. Step 3: Cross multiply
    3,418x = 4,716.84 × 2,176.72
  4. Step 4: Simplify right side
    3,418x = 10,267,239.96
  5. Step 5: Solve for x
    x = 10,267,239.96/3,418
  6. Step 6: Final answer
    x = 3,003.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.