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Finding the Fourth Proportional to 3,414.86, 5,117.82 and 3,329

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Solution

The fourth proportional to 3,414.86, 5,117.82 and 3,329 is: 4,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.86 : 5,117.82 = 3,329 : x
  2. Step 2: Convert to fraction form
    3,414.86/5,117.82 = 3,329/x
  3. Step 3: Cross multiply
    3,414.86x = 5,117.82 × 3,329
  4. Step 4: Simplify right side
    3,414.86x = 17,037,222.78
  5. Step 5: Solve for x
    x = 17,037,222.78/3,414.86
  6. Step 6: Final answer
    x = 4,989.14

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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.