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Finding the Fourth Proportional to 3,414.48, 4,733.70 and 3,294.36

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Solution

The fourth proportional to 3,414.48, 4,733.70 and 3,294.36 is: 4,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.48 : 4,733.70 = 3,294.36 : x
  2. Step 2: Convert to fraction form
    3,414.48/4,733.70 = 3,294.36/x
  3. Step 3: Cross multiply
    3,414.48x = 4,733.70 × 3,294.36
  4. Step 4: Simplify right side
    3,414.48x = 15,594,511.93
  5. Step 5: Solve for x
    x = 15,594,511.93/3,414.48
  6. Step 6: Final answer
    x = 4,567.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.