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Finding the Fourth Proportional to 3,946.12, 5,925.90 and 3,781

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Solution

The fourth proportional to 3,946.12, 5,925.90 and 3,781 is: 5,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.12 : 5,925.90 = 3,781 : x
  2. Step 2: Convert to fraction form
    3,946.12/5,925.90 = 3,781/x
  3. Step 3: Cross multiply
    3,946.12x = 5,925.90 × 3,781
  4. Step 4: Simplify right side
    3,946.12x = 22,405,827.90
  5. Step 5: Solve for x
    x = 22,405,827.90/3,946.12
  6. Step 6: Final answer
    x = 5,677.94

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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.