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Finding the Fourth Proportional to 3,416.69, 5,124.94 and 951.41

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Solution

The fourth proportional to 3,416.69, 5,124.94 and 951.41 is: 1,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.69 : 5,124.94 = 951.41 : x
  2. Step 2: Convert to fraction form
    3,416.69/5,124.94 = 951.41/x
  3. Step 3: Cross multiply
    3,416.69x = 5,124.94 × 951.41
  4. Step 4: Simplify right side
    3,416.69x = 4,875,906.35
  5. Step 5: Solve for x
    x = 4,875,906.35/3,416.69
  6. Step 6: Final answer
    x = 1,427.09

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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.